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Finding the Fourth Proportional to 23,701.16, 32,707.65 and 13,090.83

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Solution

The fourth proportional to 23,701.16, 32,707.65 and 13,090.83 is: 18,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,701.16 : 32,707.65 = 13,090.83 : x
  2. Step 2: Convert to fraction form
    23,701.16/32,707.65 = 13,090.83/x
  3. Step 3: Cross multiply
    23,701.16x = 32,707.65 × 13,090.83
  4. Step 4: Simplify right side
    23,701.16x = 428,170,285.85
  5. Step 5: Solve for x
    x = 428,170,285.85/23,701.16
  6. Step 6: Final answer
    x = 18,065.38

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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.