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Finding the Fourth Proportional to 16,444.25, 24,672.54 and 9,875.15

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Solution

The fourth proportional to 16,444.25, 24,672.54 and 9,875.15 is: 14,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,444.25 : 24,672.54 = 9,875.15 : x
  2. Step 2: Convert to fraction form
    16,444.25/24,672.54 = 9,875.15/x
  3. Step 3: Cross multiply
    16,444.25x = 24,672.54 × 9,875.15
  4. Step 4: Simplify right side
    16,444.25x = 243,644,910.02
  5. Step 5: Solve for x
    x = 243,644,910.02/16,444.25
  6. Step 6: Final answer
    x = 14,816.42

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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.