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Finding the Fourth Proportional to 14,589.92, 20,122.20 and 9,275.60

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Solution

The fourth proportional to 14,589.92, 20,122.20 and 9,275.60 is: 12,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.92 : 20,122.20 = 9,275.60 : x
  2. Step 2: Convert to fraction form
    14,589.92/20,122.20 = 9,275.60/x
  3. Step 3: Cross multiply
    14,589.92x = 20,122.20 × 9,275.60
  4. Step 4: Simplify right side
    14,589.92x = 186,645,478.32
  5. Step 5: Solve for x
    x = 186,645,478.32/14,589.92
  6. Step 6: Final answer
    x = 12,792.77

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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.