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Finding the Fourth Proportional to 14,589.98, 20,122.14 and 9,275.54

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Solution

The fourth proportional to 14,589.98, 20,122.14 and 9,275.54 is: 12,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.98 : 20,122.14 = 9,275.54 : x
  2. Step 2: Convert to fraction form
    14,589.98/20,122.14 = 9,275.54/x
  3. Step 3: Cross multiply
    14,589.98x = 20,122.14 × 9,275.54
  4. Step 4: Simplify right side
    14,589.98x = 186,643,714.46
  5. Step 5: Solve for x
    x = 186,643,714.46/14,589.98
  6. Step 6: Final answer
    x = 12,792.60

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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.