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Finding the Fourth Proportional to 22,902.20, 31,607.04 and 12,830.48

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Solution

The fourth proportional to 22,902.20, 31,607.04 and 12,830.48 is: 17,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.20 : 31,607.04 = 12,830.48 : x
  2. Step 2: Convert to fraction form
    22,902.20/31,607.04 = 12,830.48/x
  3. Step 3: Cross multiply
    22,902.20x = 31,607.04 × 12,830.48
  4. Step 4: Simplify right side
    22,902.20x = 405,533,494.58
  5. Step 5: Solve for x
    x = 405,533,494.58/22,902.20
  6. Step 6: Final answer
    x = 17,707.19

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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.