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Finding the Fourth Proportional to 14,829.90, 20,470.49 and 9,169.02

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Solution

The fourth proportional to 14,829.90, 20,470.49 and 9,169.02 is: 12,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829.90 : 20,470.49 = 9,169.02 : x
  2. Step 2: Convert to fraction form
    14,829.90/20,470.49 = 9,169.02/x
  3. Step 3: Cross multiply
    14,829.90x = 20,470.49 × 9,169.02
  4. Step 4: Simplify right side
    14,829.90x = 187,694,184.02
  5. Step 5: Solve for x
    x = 187,694,184.02/14,829.90
  6. Step 6: Final answer
    x = 12,656.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.