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Finding the Fourth Proportional to 12,132.93, 16,746.17 and 7,421.97

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Solution

The fourth proportional to 12,132.93, 16,746.17 and 7,421.97 is: 10,243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.93 : 16,746.17 = 7,421.97 : x
  2. Step 2: Convert to fraction form
    12,132.93/16,746.17 = 7,421.97/x
  3. Step 3: Cross multiply
    12,132.93x = 16,746.17 × 7,421.97
  4. Step 4: Simplify right side
    12,132.93x = 124,289,534.25
  5. Step 5: Solve for x
    x = 124,289,534.25/12,132.93
  6. Step 6: Final answer
    x = 10,243.98

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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.