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Finding the Fourth Proportional to 15,237.64, 22,853.68 and 6,915.68

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Solution

The fourth proportional to 15,237.64, 22,853.68 and 6,915.68 is: 10,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,237.64 : 22,853.68 = 6,915.68 : x
  2. Step 2: Convert to fraction form
    15,237.64/22,853.68 = 6,915.68/x
  3. Step 3: Cross multiply
    15,237.64x = 22,853.68 × 6,915.68
  4. Step 4: Simplify right side
    15,237.64x = 158,048,737.70
  5. Step 5: Solve for x
    x = 158,048,737.70/15,237.64
  6. Step 6: Final answer
    x = 10,372.26

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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.