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Finding the Fourth Proportional to 13,725.10, 20,569.11 and 10,009.90

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Solution

The fourth proportional to 13,725.10, 20,569.11 and 10,009.90 is: 15,001.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.10 : 20,569.11 = 10,009.90 : x
  2. Step 2: Convert to fraction form
    13,725.10/20,569.11 = 10,009.90/x
  3. Step 3: Cross multiply
    13,725.10x = 20,569.11 × 10,009.90
  4. Step 4: Simplify right side
    13,725.10x = 205,894,734.19
  5. Step 5: Solve for x
    x = 205,894,734.19/13,725.10
  6. Step 6: Final answer
    x = 15,001.33

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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.