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Finding the Fourth Proportional to 21,501.68, 29,665.16 and 13,006.40

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Solution

The fourth proportional to 21,501.68, 29,665.16 and 13,006.40 is: 17,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,501.68 : 29,665.16 = 13,006.40 : x
  2. Step 2: Convert to fraction form
    21,501.68/29,665.16 = 13,006.40/x
  3. Step 3: Cross multiply
    21,501.68x = 29,665.16 × 13,006.40
  4. Step 4: Simplify right side
    21,501.68x = 385,836,937.02
  5. Step 5: Solve for x
    x = 385,836,937.02/21,501.68
  6. Step 6: Final answer
    x = 17,944.50

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