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Finding the Fourth Proportional to 14,689.48, 20,282.01 and 9,031.81

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Solution

The fourth proportional to 14,689.48, 20,282.01 and 9,031.81 is: 12,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.48 : 20,282.01 = 9,031.81 : x
  2. Step 2: Convert to fraction form
    14,689.48/20,282.01 = 9,031.81/x
  3. Step 3: Cross multiply
    14,689.48x = 20,282.01 × 9,031.81
  4. Step 4: Simplify right side
    14,689.48x = 183,183,260.74
  5. Step 5: Solve for x
    x = 183,183,260.74/14,689.48
  6. Step 6: Final answer
    x = 12,470.37

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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.