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Finding the Fourth Proportional to 23,761.76, 32,790.83 and 13,151.16

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Solution

The fourth proportional to 23,761.76, 32,790.83 and 13,151.16 is: 18,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,761.76 : 32,790.83 = 13,151.16 : x
  2. Step 2: Convert to fraction form
    23,761.76/32,790.83 = 13,151.16/x
  3. Step 3: Cross multiply
    23,761.76x = 32,790.83 × 13,151.16
  4. Step 4: Simplify right side
    23,761.76x = 431,237,386.11
  5. Step 5: Solve for x
    x = 431,237,386.11/23,761.76
  6. Step 6: Final answer
    x = 18,148.38

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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.