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Finding the Fourth Proportional to 12,915.12, 19,354.16 and 7,356.96

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Solution

The fourth proportional to 12,915.12, 19,354.16 and 7,356.96 is: 11,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.12 : 19,354.16 = 7,356.96 : x
  2. Step 2: Convert to fraction form
    12,915.12/19,354.16 = 7,356.96/x
  3. Step 3: Cross multiply
    12,915.12x = 19,354.16 × 7,356.96
  4. Step 4: Simplify right side
    12,915.12x = 142,387,780.95
  5. Step 5: Solve for x
    x = 142,387,780.95/12,915.12
  6. Step 6: Final answer
    x = 11,024.89

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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.