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Finding the Fourth Proportional to 19,865, 27,412.70 and 11,905.68

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Solution

The fourth proportional to 19,865, 27,412.70 and 11,905.68 is: 16,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,865 : 27,412.70 = 11,905.68 : x
  2. Step 2: Convert to fraction form
    19,865/27,412.70 = 11,905.68/x
  3. Step 3: Cross multiply
    19,865x = 27,412.70 × 11,905.68
  4. Step 4: Simplify right side
    19,865x = 326,366,834.14
  5. Step 5: Solve for x
    x = 326,366,834.14/19,865
  6. Step 6: Final answer
    x = 16,429.24

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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.