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Finding the Fourth Proportional to 14,697.43, 20,283.15 and 9,032.41

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Solution

The fourth proportional to 14,697.43, 20,283.15 and 9,032.41 is: 12,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.43 : 20,283.15 = 9,032.41 : x
  2. Step 2: Convert to fraction form
    14,697.43/20,283.15 = 9,032.41/x
  3. Step 3: Cross multiply
    14,697.43x = 20,283.15 × 9,032.41
  4. Step 4: Simplify right side
    14,697.43x = 183,205,625.48
  5. Step 5: Solve for x
    x = 183,205,625.48/14,697.43
  6. Step 6: Final answer
    x = 12,465.15

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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.