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Finding the Fourth Proportional to 24,242.35, 36,364.38 and 6,713.50

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Solution

The fourth proportional to 24,242.35, 36,364.38 and 6,713.50 is: 10,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242.35 : 36,364.38 = 6,713.50 : x
  2. Step 2: Convert to fraction form
    24,242.35/36,364.38 = 6,713.50/x
  3. Step 3: Cross multiply
    24,242.35x = 36,364.38 × 6,713.50
  4. Step 4: Simplify right side
    24,242.35x = 244,132,265.13
  5. Step 5: Solve for x
    x = 244,132,265.13/24,242.35
  6. Step 6: Final answer
    x = 10,070.49

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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.