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Finding the Fourth Proportional to 15,709.71, 21,684.45 and 10,059.66

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Solution

The fourth proportional to 15,709.71, 21,684.45 and 10,059.66 is: 13,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.71 : 21,684.45 = 10,059.66 : x
  2. Step 2: Convert to fraction form
    15,709.71/21,684.45 = 10,059.66/x
  3. Step 3: Cross multiply
    15,709.71x = 21,684.45 × 10,059.66
  4. Step 4: Simplify right side
    15,709.71x = 218,138,194.29
  5. Step 5: Solve for x
    x = 218,138,194.29/15,709.71
  6. Step 6: Final answer
    x = 13,885.56

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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.