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Finding the Fourth Proportional to 19,164.78, 26,410.50 and 12,784.14

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Solution

The fourth proportional to 19,164.78, 26,410.50 and 12,784.14 is: 17,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,164.78 : 26,410.50 = 12,784.14 : x
  2. Step 2: Convert to fraction form
    19,164.78/26,410.50 = 12,784.14/x
  3. Step 3: Cross multiply
    19,164.78x = 26,410.50 × 12,784.14
  4. Step 4: Simplify right side
    19,164.78x = 337,635,529.47
  5. Step 5: Solve for x
    x = 337,635,529.47/19,164.78
  6. Step 6: Final answer
    x = 17,617.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.