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Finding the Fourth Proportional to 22,582.68, 31,189.68 and 15,400.32

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Solution

The fourth proportional to 22,582.68, 31,189.68 and 15,400.32 is: 21,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.68 : 31,189.68 = 15,400.32 : x
  2. Step 2: Convert to fraction form
    22,582.68/31,189.68 = 15,400.32/x
  3. Step 3: Cross multiply
    22,582.68x = 31,189.68 × 15,400.32
  4. Step 4: Simplify right side
    22,582.68x = 480,331,052.70
  5. Step 5: Solve for x
    x = 480,331,052.70/22,582.68
  6. Step 6: Final answer
    x = 21,269.89

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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.