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Finding the Fourth Proportional to 22,932.42, 31,646.16 and 12,860.04

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Solution

The fourth proportional to 22,932.42, 31,646.16 and 12,860.04 is: 17,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,932.42 : 31,646.16 = 12,860.04 : x
  2. Step 2: Convert to fraction form
    22,932.42/31,646.16 = 12,860.04/x
  3. Step 3: Cross multiply
    22,932.42x = 31,646.16 × 12,860.04
  4. Step 4: Simplify right side
    22,932.42x = 406,970,883.45
  5. Step 5: Solve for x
    x = 406,970,883.45/22,932.42
  6. Step 6: Final answer
    x = 17,746.53

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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.