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Finding the Fourth Proportional to 22,463.12, 31,000.26 and 13,031.84

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Solution

The fourth proportional to 22,463.12, 31,000.26 and 13,031.84 is: 17,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.12 : 31,000.26 = 13,031.84 : x
  2. Step 2: Convert to fraction form
    22,463.12/31,000.26 = 13,031.84/x
  3. Step 3: Cross multiply
    22,463.12x = 31,000.26 × 13,031.84
  4. Step 4: Simplify right side
    22,463.12x = 403,990,428.28
  5. Step 5: Solve for x
    x = 403,990,428.28/22,463.12
  6. Step 6: Final answer
    x = 17,984.61

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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.