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Finding the Fourth Proportional to 15,824.61, 23,742.39 and 5,966.71

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Solution

The fourth proportional to 15,824.61, 23,742.39 and 5,966.71 is: 8,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824.61 : 23,742.39 = 5,966.71 : x
  2. Step 2: Convert to fraction form
    15,824.61/23,742.39 = 5,966.71/x
  3. Step 3: Cross multiply
    15,824.61x = 23,742.39 × 5,966.71
  4. Step 4: Simplify right side
    15,824.61x = 141,663,955.84
  5. Step 5: Solve for x
    x = 141,663,955.84/15,824.61
  6. Step 6: Final answer
    x = 8,952.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.