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Finding the Fourth Proportional to 14,909.40, 22,344.66 and 6,134.40

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Solution

The fourth proportional to 14,909.40, 22,344.66 and 6,134.40 is: 9,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.40 : 22,344.66 = 6,134.40 : x
  2. Step 2: Convert to fraction form
    14,909.40/22,344.66 = 6,134.40/x
  3. Step 3: Cross multiply
    14,909.40x = 22,344.66 × 6,134.40
  4. Step 4: Simplify right side
    14,909.40x = 137,071,082.30
  5. Step 5: Solve for x
    x = 137,071,082.30/14,909.40
  6. Step 6: Final answer
    x = 9,193.60

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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.