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Finding the Fourth Proportional to 24,351.30, 36,509.13 and 7,702.02

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Solution

The fourth proportional to 24,351.30, 36,509.13 and 7,702.02 is: 11,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,351.30 : 36,509.13 = 7,702.02 : x
  2. Step 2: Convert to fraction form
    24,351.30/36,509.13 = 7,702.02/x
  3. Step 3: Cross multiply
    24,351.30x = 36,509.13 × 7,702.02
  4. Step 4: Simplify right side
    24,351.30x = 281,194,049.44
  5. Step 5: Solve for x
    x = 281,194,049.44/24,351.30
  6. Step 6: Final answer
    x = 11,547.39

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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.