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Finding the Fourth Proportional to 12,141.78, 16,756.92 and 7,429.20

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Solution

The fourth proportional to 12,141.78, 16,756.92 and 7,429.20 is: 10,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.78 : 16,756.92 = 7,429.20 : x
  2. Step 2: Convert to fraction form
    12,141.78/16,756.92 = 7,429.20/x
  3. Step 3: Cross multiply
    12,141.78x = 16,756.92 × 7,429.20
  4. Step 4: Simplify right side
    12,141.78x = 124,490,510.06
  5. Step 5: Solve for x
    x = 124,490,510.06/12,141.78
  6. Step 6: Final answer
    x = 10,253.07

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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.