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Finding the Fourth Proportional to 13,123.71, 18,114.17 and 7,461.77

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Solution

The fourth proportional to 13,123.71, 18,114.17 and 7,461.77 is: 10,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.71 : 18,114.17 = 7,461.77 : x
  2. Step 2: Convert to fraction form
    13,123.71/18,114.17 = 7,461.77/x
  3. Step 3: Cross multiply
    13,123.71x = 18,114.17 × 7,461.77
  4. Step 4: Simplify right side
    13,123.71x = 135,163,775.77
  5. Step 5: Solve for x
    x = 135,163,775.77/13,123.71
  6. Step 6: Final answer
    x = 10,299.21

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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.