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Finding the Fourth Proportional to 13,446.81, 18,557.06 and 7,397.31

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Solution

The fourth proportional to 13,446.81, 18,557.06 and 7,397.31 is: 10,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.81 : 18,557.06 = 7,397.31 : x
  2. Step 2: Convert to fraction form
    13,446.81/18,557.06 = 7,397.31/x
  3. Step 3: Cross multiply
    13,446.81x = 18,557.06 × 7,397.31
  4. Step 4: Simplify right side
    13,446.81x = 137,272,358.11
  5. Step 5: Solve for x
    x = 137,272,358.11/13,446.81
  6. Step 6: Final answer
    x = 10,208.54

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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.