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Finding the Fourth Proportional to 23,031.84, 31,790.10 and 15,084.83

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Solution

The fourth proportional to 23,031.84, 31,790.10 and 15,084.83 is: 20,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031.84 : 31,790.10 = 15,084.83 : x
  2. Step 2: Convert to fraction form
    23,031.84/31,790.10 = 15,084.83/x
  3. Step 3: Cross multiply
    23,031.84x = 31,790.10 × 15,084.83
  4. Step 4: Simplify right side
    23,031.84x = 479,548,262.95
  5. Step 5: Solve for x
    x = 479,548,262.95/23,031.84
  6. Step 6: Final answer
    x = 20,821.10

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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.