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Finding the Fourth Proportional to 22,902.28, 31,607.18 and 12,830.65

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Solution

The fourth proportional to 22,902.28, 31,607.18 and 12,830.65 is: 17,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.28 : 31,607.18 = 12,830.65 : x
  2. Step 2: Convert to fraction form
    22,902.28/31,607.18 = 12,830.65/x
  3. Step 3: Cross multiply
    22,902.28x = 31,607.18 × 12,830.65
  4. Step 4: Simplify right side
    22,902.28x = 405,540,746.80
  5. Step 5: Solve for x
    x = 405,540,746.80/22,902.28
  6. Step 6: Final answer
    x = 17,707.44

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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.