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Finding the Fourth Proportional to 24,606.47, 36,915.56 and 7,966.50

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Solution

The fourth proportional to 24,606.47, 36,915.56 and 7,966.50 is: 11,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606.47 : 36,915.56 = 7,966.50 : x
  2. Step 2: Convert to fraction form
    24,606.47/36,915.56 = 7,966.50/x
  3. Step 3: Cross multiply
    24,606.47x = 36,915.56 × 7,966.50
  4. Step 4: Simplify right side
    24,606.47x = 294,087,808.74
  5. Step 5: Solve for x
    x = 294,087,808.74/24,606.47
  6. Step 6: Final answer
    x = 11,951.65

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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.