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Finding the Fourth Proportional to 13,354.47, 20,038.67 and 9,686.97

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Solution

The fourth proportional to 13,354.47, 20,038.67 and 9,686.97 is: 14,535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.47 : 20,038.67 = 9,686.97 : x
  2. Step 2: Convert to fraction form
    13,354.47/20,038.67 = 9,686.97/x
  3. Step 3: Cross multiply
    13,354.47x = 20,038.67 × 9,686.97
  4. Step 4: Simplify right side
    13,354.47x = 194,113,983.02
  5. Step 5: Solve for x
    x = 194,113,983.02/13,354.47
  6. Step 6: Final answer
    x = 14,535.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.