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Finding the Fourth Proportional to 13,677.52, 18,874.72 and 7,709.08

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Solution

The fourth proportional to 13,677.52, 18,874.72 and 7,709.08 is: 10,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.52 : 18,874.72 = 7,709.08 : x
  2. Step 2: Convert to fraction form
    13,677.52/18,874.72 = 7,709.08/x
  3. Step 3: Cross multiply
    13,677.52x = 18,874.72 × 7,709.08
  4. Step 4: Simplify right side
    13,677.52x = 145,506,726.46
  5. Step 5: Solve for x
    x = 145,506,726.46/13,677.52
  6. Step 6: Final answer
    x = 10,638.39

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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.