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Finding the Fourth Proportional to 12,915.72, 19,374.30 and 3,681

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Solution

The fourth proportional to 12,915.72, 19,374.30 and 3,681 is: 5,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.72 : 19,374.30 = 3,681 : x
  2. Step 2: Convert to fraction form
    12,915.72/19,374.30 = 3,681/x
  3. Step 3: Cross multiply
    12,915.72x = 19,374.30 × 3,681
  4. Step 4: Simplify right side
    12,915.72x = 71,316,798.30
  5. Step 5: Solve for x
    x = 71,316,798.30/12,915.72
  6. Step 6: Final answer
    x = 5,521.71

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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.