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Finding the Fourth Proportional to 24,606.19, 36,915.14 and 7,966.22

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Solution

The fourth proportional to 24,606.19, 36,915.14 and 7,966.22 is: 11,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606.19 : 36,915.14 = 7,966.22 : x
  2. Step 2: Convert to fraction form
    24,606.19/36,915.14 = 7,966.22/x
  3. Step 3: Cross multiply
    24,606.19x = 36,915.14 × 7,966.22
  4. Step 4: Simplify right side
    24,606.19x = 294,074,126.57
  5. Step 5: Solve for x
    x = 294,074,126.57/24,606.19
  6. Step 6: Final answer
    x = 11,951.23

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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.