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Finding the Fourth Proportional to 26,834.85, 40,254.53 and 7,113.15

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Solution

The fourth proportional to 26,834.85, 40,254.53 and 7,113.15 is: 10,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,834.85 : 40,254.53 = 7,113.15 : x
  2. Step 2: Convert to fraction form
    26,834.85/40,254.53 = 7,113.15/x
  3. Step 3: Cross multiply
    26,834.85x = 40,254.53 × 7,113.15
  4. Step 4: Simplify right side
    26,834.85x = 286,336,474.50
  5. Step 5: Solve for x
    x = 286,336,474.50/26,834.85
  6. Step 6: Final answer
    x = 10,670.32

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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.