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Finding the Fourth Proportional to 14,142.32, 19,507.42 and 8,689

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Solution

The fourth proportional to 14,142.32, 19,507.42 and 8,689 is: 11,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.32 : 19,507.42 = 8,689 : x
  2. Step 2: Convert to fraction form
    14,142.32/19,507.42 = 8,689/x
  3. Step 3: Cross multiply
    14,142.32x = 19,507.42 × 8,689
  4. Step 4: Simplify right side
    14,142.32x = 169,499,972.38
  5. Step 5: Solve for x
    x = 169,499,972.38/14,142.32
  6. Step 6: Final answer
    x = 11,985.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.