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Finding the Fourth Proportional to 22,697.80, 31,323.86 and 13,740.24

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Solution

The fourth proportional to 22,697.80, 31,323.86 and 13,740.24 is: 18,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.80 : 31,323.86 = 13,740.24 : x
  2. Step 2: Convert to fraction form
    22,697.80/31,323.86 = 13,740.24/x
  3. Step 3: Cross multiply
    22,697.80x = 31,323.86 × 13,740.24
  4. Step 4: Simplify right side
    22,697.80x = 430,397,354.13
  5. Step 5: Solve for x
    x = 430,397,354.13/22,697.80
  6. Step 6: Final answer
    x = 18,962.07

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