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Finding the Fourth Proportional to 19,694.16, 29,541.20 and 5,842.08

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Solution

The fourth proportional to 19,694.16, 29,541.20 and 5,842.08 is: 8,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.16 : 29,541.20 = 5,842.08 : x
  2. Step 2: Convert to fraction form
    19,694.16/29,541.20 = 5,842.08/x
  3. Step 3: Cross multiply
    19,694.16x = 29,541.20 × 5,842.08
  4. Step 4: Simplify right side
    19,694.16x = 172,582,053.70
  5. Step 5: Solve for x
    x = 172,582,053.70/19,694.16
  6. Step 6: Final answer
    x = 8,763.11

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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.