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Finding the Fourth Proportional to 22,929.86, 31,644 and 12,858.42

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Solution

The fourth proportional to 22,929.86, 31,644 and 12,858.42 is: 17,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,929.86 : 31,644 = 12,858.42 : x
  2. Step 2: Convert to fraction form
    22,929.86/31,644 = 12,858.42/x
  3. Step 3: Cross multiply
    22,929.86x = 31,644 × 12,858.42
  4. Step 4: Simplify right side
    22,929.86x = 406,891,842.48
  5. Step 5: Solve for x
    x = 406,891,842.48/22,929.86
  6. Step 6: Final answer
    x = 17,745.06

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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.