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Finding the Fourth Proportional to 13,830.13, 20,744.59 and 6,432

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Solution

The fourth proportional to 13,830.13, 20,744.59 and 6,432 is: 9,647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.13 : 20,744.59 = 6,432 : x
  2. Step 2: Convert to fraction form
    13,830.13/20,744.59 = 6,432/x
  3. Step 3: Cross multiply
    13,830.13x = 20,744.59 × 6,432
  4. Step 4: Simplify right side
    13,830.13x = 133,429,202.88
  5. Step 5: Solve for x
    x = 133,429,202.88/13,830.13
  6. Step 6: Final answer
    x = 9,647.72

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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.