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Finding the Fourth Proportional to 19,751.76, 29,617.92 and 8,061.84

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Solution

The fourth proportional to 19,751.76, 29,617.92 and 8,061.84 is: 12,088.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,751.76 : 29,617.92 = 8,061.84 : x
  2. Step 2: Convert to fraction form
    19,751.76/29,617.92 = 8,061.84/x
  3. Step 3: Cross multiply
    19,751.76x = 29,617.92 × 8,061.84
  4. Step 4: Simplify right side
    19,751.76x = 238,774,932.17
  5. Step 5: Solve for x
    x = 238,774,932.17/19,751.76
  6. Step 6: Final answer
    x = 12,088.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.