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Finding the Fourth Proportional to 13,711.10, 20,431.76 and 13,264.58

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Solution

The fourth proportional to 13,711.10, 20,431.76 and 13,264.58 is: 19,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.10 : 20,431.76 = 13,264.58 : x
  2. Step 2: Convert to fraction form
    13,711.10/20,431.76 = 13,264.58/x
  3. Step 3: Cross multiply
    13,711.10x = 20,431.76 × 13,264.58
  4. Step 4: Simplify right side
    13,711.10x = 271,018,699.82
  5. Step 5: Solve for x
    x = 271,018,699.82/13,711.10
  6. Step 6: Final answer
    x = 19,766.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.