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Finding the Fourth Proportional to 11,833.95, 17,707.15 and 9,734.43

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Solution

The fourth proportional to 11,833.95, 17,707.15 and 9,734.43 is: 14,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.95 : 17,707.15 = 9,734.43 : x
  2. Step 2: Convert to fraction form
    11,833.95/17,707.15 = 9,734.43/x
  3. Step 3: Cross multiply
    11,833.95x = 17,707.15 × 9,734.43
  4. Step 4: Simplify right side
    11,833.95x = 172,369,012.17
  5. Step 5: Solve for x
    x = 172,369,012.17/11,833.95
  6. Step 6: Final answer
    x = 14,565.64

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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.