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Finding the Fourth Proportional to 22,830.39, 31,507.16 and 12,759.08

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Solution

The fourth proportional to 22,830.39, 31,507.16 and 12,759.08 is: 17,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.39 : 31,507.16 = 12,759.08 : x
  2. Step 2: Convert to fraction form
    22,830.39/31,507.16 = 12,759.08/x
  3. Step 3: Cross multiply
    22,830.39x = 31,507.16 × 12,759.08
  4. Step 4: Simplify right side
    22,830.39x = 402,002,153.68
  5. Step 5: Solve for x
    x = 402,002,153.68/22,830.39
  6. Step 6: Final answer
    x = 17,608.20

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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.