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Finding the Fourth Proportional to 15,123.40, 22,675.38 and 7,221.64

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Solution

The fourth proportional to 15,123.40, 22,675.38 and 7,221.64 is: 10,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.40 : 22,675.38 = 7,221.64 : x
  2. Step 2: Convert to fraction form
    15,123.40/22,675.38 = 7,221.64/x
  3. Step 3: Cross multiply
    15,123.40x = 22,675.38 × 7,221.64
  4. Step 4: Simplify right side
    15,123.40x = 163,753,431.22
  5. Step 5: Solve for x
    x = 163,753,431.22/15,123.40
  6. Step 6: Final answer
    x = 10,827.82

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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.