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Finding the Fourth Proportional to 21,866.92, 30,178.02 and 12,434.92

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Solution

The fourth proportional to 21,866.92, 30,178.02 and 12,434.92 is: 17,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.92 : 30,178.02 = 12,434.92 : x
  2. Step 2: Convert to fraction form
    21,866.92/30,178.02 = 12,434.92/x
  3. Step 3: Cross multiply
    21,866.92x = 30,178.02 × 12,434.92
  4. Step 4: Simplify right side
    21,866.92x = 375,261,264.46
  5. Step 5: Solve for x
    x = 375,261,264.46/21,866.92
  6. Step 6: Final answer
    x = 17,161.14

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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.