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Finding the Fourth Proportional to 15,715.39, 21,685.95 and 9,254.01

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Solution

The fourth proportional to 15,715.39, 21,685.95 and 9,254.01 is: 12,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715.39 : 21,685.95 = 9,254.01 : x
  2. Step 2: Convert to fraction form
    15,715.39/21,685.95 = 9,254.01/x
  3. Step 3: Cross multiply
    15,715.39x = 21,685.95 × 9,254.01
  4. Step 4: Simplify right side
    15,715.39x = 200,681,998.16
  5. Step 5: Solve for x
    x = 200,681,998.16/15,715.39
  6. Step 6: Final answer
    x = 12,769.78

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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.