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Finding the Fourth Proportional to 13,432.50, 20,156.14 and 6,507

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Solution

The fourth proportional to 13,432.50, 20,156.14 and 6,507 is: 9,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.50 : 20,156.14 = 6,507 : x
  2. Step 2: Convert to fraction form
    13,432.50/20,156.14 = 6,507/x
  3. Step 3: Cross multiply
    13,432.50x = 20,156.14 × 6,507
  4. Step 4: Simplify right side
    13,432.50x = 131,156,011.11
  5. Step 5: Solve for x
    x = 131,156,011.11/13,432.50
  6. Step 6: Final answer
    x = 9,764.08

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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.