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Finding the Fourth Proportional to 13,712.40, 20,576.70 and 10,005.30

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Solution

The fourth proportional to 13,712.40, 20,576.70 and 10,005.30 is: 15,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.40 : 20,576.70 = 10,005.30 : x
  2. Step 2: Convert to fraction form
    13,712.40/20,576.70 = 10,005.30/x
  3. Step 3: Cross multiply
    13,712.40x = 20,576.70 × 10,005.30
  4. Step 4: Simplify right side
    13,712.40x = 205,876,056.51
  5. Step 5: Solve for x
    x = 205,876,056.51/13,712.40
  6. Step 6: Final answer
    x = 15,013.86

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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.