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Finding the Fourth Proportional to 13,133.31, 18,123.88 and 7,468.05

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Solution

The fourth proportional to 13,133.31, 18,123.88 and 7,468.05 is: 10,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.31 : 18,123.88 = 7,468.05 : x
  2. Step 2: Convert to fraction form
    13,133.31/18,123.88 = 7,468.05/x
  3. Step 3: Cross multiply
    13,133.31x = 18,123.88 × 7,468.05
  4. Step 4: Simplify right side
    13,133.31x = 135,350,068.40
  5. Step 5: Solve for x
    x = 135,350,068.40/13,133.31
  6. Step 6: Final answer
    x = 10,305.86

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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.