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Finding the Fourth Proportional to 15,913.76, 23,862.44 and 7,141.16

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Solution

The fourth proportional to 15,913.76, 23,862.44 and 7,141.16 is: 10,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.76 : 23,862.44 = 7,141.16 : x
  2. Step 2: Convert to fraction form
    15,913.76/23,862.44 = 7,141.16/x
  3. Step 3: Cross multiply
    15,913.76x = 23,862.44 × 7,141.16
  4. Step 4: Simplify right side
    15,913.76x = 170,405,382.72
  5. Step 5: Solve for x
    x = 170,405,382.72/15,913.76
  6. Step 6: Final answer
    x = 10,708.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.