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Finding the Fourth Proportional to 15,195.52, 22,776 and 6,424.96

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Solution

The fourth proportional to 15,195.52, 22,776 and 6,424.96 is: 9,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,195.52 : 22,776 = 6,424.96 : x
  2. Step 2: Convert to fraction form
    15,195.52/22,776 = 6,424.96/x
  3. Step 3: Cross multiply
    15,195.52x = 22,776 × 6,424.96
  4. Step 4: Simplify right side
    15,195.52x = 146,334,888.96
  5. Step 5: Solve for x
    x = 146,334,888.96/15,195.52
  6. Step 6: Final answer
    x = 9,630.13

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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.