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Finding the Fourth Proportional to 12,177.34, 16,806.29 and 7,397.12

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Solution

The fourth proportional to 12,177.34, 16,806.29 and 7,397.12 is: 10,208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.34 : 16,806.29 = 7,397.12 : x
  2. Step 2: Convert to fraction form
    12,177.34/16,806.29 = 7,397.12/x
  3. Step 3: Cross multiply
    12,177.34x = 16,806.29 × 7,397.12
  4. Step 4: Simplify right side
    12,177.34x = 124,318,148.91
  5. Step 5: Solve for x
    x = 124,318,148.91/12,177.34
  6. Step 6: Final answer
    x = 10,208.98

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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.