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Finding the Fourth Proportional to 26,742.76, 40,117.98 and 9,207.88

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Solution

The fourth proportional to 26,742.76, 40,117.98 and 9,207.88 is: 13,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,742.76 : 40,117.98 = 9,207.88 : x
  2. Step 2: Convert to fraction form
    26,742.76/40,117.98 = 9,207.88/x
  3. Step 3: Cross multiply
    26,742.76x = 40,117.98 × 9,207.88
  4. Step 4: Simplify right side
    26,742.76x = 369,401,545.68
  5. Step 5: Solve for x
    x = 369,401,545.68/26,742.76
  6. Step 6: Final answer
    x = 13,813.14

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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.