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Finding the Fourth Proportional to 19,686.66, 29,523.62 and 6,535.50

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Solution

The fourth proportional to 19,686.66, 29,523.62 and 6,535.50 is: 9,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.66 : 29,523.62 = 6,535.50 : x
  2. Step 2: Convert to fraction form
    19,686.66/29,523.62 = 6,535.50/x
  3. Step 3: Cross multiply
    19,686.66x = 29,523.62 × 6,535.50
  4. Step 4: Simplify right side
    19,686.66x = 192,951,585.83
  5. Step 5: Solve for x
    x = 192,951,585.83/19,686.66
  6. Step 6: Final answer
    x = 9,801.13

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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.