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Finding the Fourth Proportional to 19,494.64, 26,902.82 and 10,542.32

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Solution

The fourth proportional to 19,494.64, 26,902.82 and 10,542.32 is: 14,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494.64 : 26,902.82 = 10,542.32 : x
  2. Step 2: Convert to fraction form
    19,494.64/26,902.82 = 10,542.32/x
  3. Step 3: Cross multiply
    19,494.64x = 26,902.82 × 10,542.32
  4. Step 4: Simplify right side
    19,494.64x = 283,618,130.07
  5. Step 5: Solve for x
    x = 283,618,130.07/19,494.64
  6. Step 6: Final answer
    x = 14,548.52

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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.