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Finding the Fourth Proportional to 16,094.83, 24,142.26 and 9,154.75

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Solution

The fourth proportional to 16,094.83, 24,142.26 and 9,154.75 is: 13,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.83 : 24,142.26 = 9,154.75 : x
  2. Step 2: Convert to fraction form
    16,094.83/24,142.26 = 9,154.75/x
  3. Step 3: Cross multiply
    16,094.83x = 24,142.26 × 9,154.75
  4. Step 4: Simplify right side
    16,094.83x = 221,016,354.74
  5. Step 5: Solve for x
    x = 221,016,354.74/16,094.83
  6. Step 6: Final answer
    x = 13,732.13

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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.