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Finding the Fourth Proportional to 22,929.16, 31,644 and 12,859.84

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Solution

The fourth proportional to 22,929.16, 31,644 and 12,859.84 is: 17,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,929.16 : 31,644 = 12,859.84 : x
  2. Step 2: Convert to fraction form
    22,929.16/31,644 = 12,859.84/x
  3. Step 3: Cross multiply
    22,929.16x = 31,644 × 12,859.84
  4. Step 4: Simplify right side
    22,929.16x = 406,936,776.96
  5. Step 5: Solve for x
    x = 406,936,776.96/22,929.16
  6. Step 6: Final answer
    x = 17,747.57

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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.