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Finding the Fourth Proportional to 11,842.43, 17,746.65 and 8,697.74

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Solution

The fourth proportional to 11,842.43, 17,746.65 and 8,697.74 is: 13,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.43 : 17,746.65 = 8,697.74 : x
  2. Step 2: Convert to fraction form
    11,842.43/17,746.65 = 8,697.74/x
  3. Step 3: Cross multiply
    11,842.43x = 17,746.65 × 8,697.74
  4. Step 4: Simplify right side
    11,842.43x = 154,355,658.84
  5. Step 5: Solve for x
    x = 154,355,658.84/11,842.43
  6. Step 6: Final answer
    x = 13,034.13

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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.