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Finding the Fourth Proportional to 23,123.16, 31,909.95 and 13,053.69

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Solution

The fourth proportional to 23,123.16, 31,909.95 and 13,053.69 is: 18,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,123.16 : 31,909.95 = 13,053.69 : x
  2. Step 2: Convert to fraction form
    23,123.16/31,909.95 = 13,053.69/x
  3. Step 3: Cross multiply
    23,123.16x = 31,909.95 × 13,053.69
  4. Step 4: Simplify right side
    23,123.16x = 416,542,595.22
  5. Step 5: Solve for x
    x = 416,542,595.22/23,123.16
  6. Step 6: Final answer
    x = 18,014.09

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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.