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Finding the Fourth Proportional to 16,124.78, 24,188.70 and 6,264.82

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Solution

The fourth proportional to 16,124.78, 24,188.70 and 6,264.82 is: 9,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,124.78 : 24,188.70 = 6,264.82 : x
  2. Step 2: Convert to fraction form
    16,124.78/24,188.70 = 6,264.82/x
  3. Step 3: Cross multiply
    16,124.78x = 24,188.70 × 6,264.82
  4. Step 4: Simplify right side
    16,124.78x = 151,537,851.53
  5. Step 5: Solve for x
    x = 151,537,851.53/16,124.78
  6. Step 6: Final answer
    x = 9,397.82

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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.