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Finding the Fourth Proportional to 15,842.46, 21,862.52 and 8,768.88

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Solution

The fourth proportional to 15,842.46, 21,862.52 and 8,768.88 is: 12,101.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.46 : 21,862.52 = 8,768.88 : x
  2. Step 2: Convert to fraction form
    15,842.46/21,862.52 = 8,768.88/x
  3. Step 3: Cross multiply
    15,842.46x = 21,862.52 × 8,768.88
  4. Step 4: Simplify right side
    15,842.46x = 191,709,814.38
  5. Step 5: Solve for x
    x = 191,709,814.38/15,842.46
  6. Step 6: Final answer
    x = 12,101.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.