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Finding the Fourth Proportional to 15,112.80, 22,646.88 and 7,312.32

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Solution

The fourth proportional to 15,112.80, 22,646.88 and 7,312.32 is: 10,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,112.80 : 22,646.88 = 7,312.32 : x
  2. Step 2: Convert to fraction form
    15,112.80/22,646.88 = 7,312.32/x
  3. Step 3: Cross multiply
    15,112.80x = 22,646.88 × 7,312.32
  4. Step 4: Simplify right side
    15,112.80x = 165,601,233.56
  5. Step 5: Solve for x
    x = 165,601,233.56/15,112.80
  6. Step 6: Final answer
    x = 10,957.68

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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.