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Finding the Fourth Proportional to 11,225.52, 16,838.28 and 6,024.24

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Solution

The fourth proportional to 11,225.52, 16,838.28 and 6,024.24 is: 9,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.52 : 16,838.28 = 6,024.24 : x
  2. Step 2: Convert to fraction form
    11,225.52/16,838.28 = 6,024.24/x
  3. Step 3: Cross multiply
    11,225.52x = 16,838.28 × 6,024.24
  4. Step 4: Simplify right side
    11,225.52x = 101,437,839.91
  5. Step 5: Solve for x
    x = 101,437,839.91/11,225.52
  6. Step 6: Final answer
    x = 9,036.36

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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.