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Finding the Fourth Proportional to 14,612.74, 21,909.96 and 6,174.90

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Solution

The fourth proportional to 14,612.74, 21,909.96 and 6,174.90 is: 9,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.74 : 21,909.96 = 6,174.90 : x
  2. Step 2: Convert to fraction form
    14,612.74/21,909.96 = 6,174.90/x
  3. Step 3: Cross multiply
    14,612.74x = 21,909.96 × 6,174.90
  4. Step 4: Simplify right side
    14,612.74x = 135,291,812.00
  5. Step 5: Solve for x
    x = 135,291,812.00/14,612.74
  6. Step 6: Final answer
    x = 9,258.49

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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.