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Finding the Fourth Proportional to 16,252.41, 24,379.53 and 5,160

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Solution

The fourth proportional to 16,252.41, 24,379.53 and 5,160 is: 7,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252.41 : 24,379.53 = 5,160 : x
  2. Step 2: Convert to fraction form
    16,252.41/24,379.53 = 5,160/x
  3. Step 3: Cross multiply
    16,252.41x = 24,379.53 × 5,160
  4. Step 4: Simplify right side
    16,252.41x = 125,798,374.80
  5. Step 5: Solve for x
    x = 125,798,374.80/16,252.41
  6. Step 6: Final answer
    x = 7,740.29

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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.