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Finding the Fourth Proportional to 15,141.92, 20,884.66 and 10,427.72

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Solution

The fourth proportional to 15,141.92, 20,884.66 and 10,427.72 is: 14,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.92 : 20,884.66 = 10,427.72 : x
  2. Step 2: Convert to fraction form
    15,141.92/20,884.66 = 10,427.72/x
  3. Step 3: Cross multiply
    15,141.92x = 20,884.66 × 10,427.72
  4. Step 4: Simplify right side
    15,141.92x = 217,779,386.78
  5. Step 5: Solve for x
    x = 217,779,386.78/15,141.92
  6. Step 6: Final answer
    x = 14,382.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.