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Finding the Fourth Proportional to 13,610.16, 20,410.92 and 4,374

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Solution

The fourth proportional to 13,610.16, 20,410.92 and 4,374 is: 6,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,610.16 : 20,410.92 = 4,374 : x
  2. Step 2: Convert to fraction form
    13,610.16/20,410.92 = 4,374/x
  3. Step 3: Cross multiply
    13,610.16x = 20,410.92 × 4,374
  4. Step 4: Simplify right side
    13,610.16x = 89,277,364.08
  5. Step 5: Solve for x
    x = 89,277,364.08/13,610.16
  6. Step 6: Final answer
    x = 6,559.61

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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.