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Finding the Fourth Proportional to 16,002.42, 24,000.86 and 7,235.30

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Solution

The fourth proportional to 16,002.42, 24,000.86 and 7,235.30 is: 10,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.42 : 24,000.86 = 7,235.30 : x
  2. Step 2: Convert to fraction form
    16,002.42/24,000.86 = 7,235.30/x
  3. Step 3: Cross multiply
    16,002.42x = 24,000.86 × 7,235.30
  4. Step 4: Simplify right side
    16,002.42x = 173,653,422.36
  5. Step 5: Solve for x
    x = 173,653,422.36/16,002.42
  6. Step 6: Final answer
    x = 10,851.70

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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.