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Finding the Fourth Proportional to 19,689.75, 29,534.63 and 5,838.75

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Solution

The fourth proportional to 19,689.75, 29,534.63 and 5,838.75 is: 8,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.75 : 29,534.63 = 5,838.75 : x
  2. Step 2: Convert to fraction form
    19,689.75/29,534.63 = 5,838.75/x
  3. Step 3: Cross multiply
    19,689.75x = 29,534.63 × 5,838.75
  4. Step 4: Simplify right side
    19,689.75x = 172,445,291.72
  5. Step 5: Solve for x
    x = 172,445,291.72/19,689.75
  6. Step 6: Final answer
    x = 8,758.13

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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.