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Finding the Fourth Proportional to 16,094.14, 24,147.87 and 8,689.89

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Solution

The fourth proportional to 16,094.14, 24,147.87 and 8,689.89 is: 13,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.14 : 24,147.87 = 8,689.89 : x
  2. Step 2: Convert to fraction form
    16,094.14/24,147.87 = 8,689.89/x
  3. Step 3: Cross multiply
    16,094.14x = 24,147.87 × 8,689.89
  4. Step 4: Simplify right side
    16,094.14x = 209,842,334.03
  5. Step 5: Solve for x
    x = 209,842,334.03/16,094.14
  6. Step 6: Final answer
    x = 13,038.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.