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Finding the Fourth Proportional to 24,065.64, 36,069.71 and 13,540.50

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Solution

The fourth proportional to 24,065.64, 36,069.71 and 13,540.50 is: 20,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.64 : 36,069.71 = 13,540.50 : x
  2. Step 2: Convert to fraction form
    24,065.64/36,069.71 = 13,540.50/x
  3. Step 3: Cross multiply
    24,065.64x = 36,069.71 × 13,540.50
  4. Step 4: Simplify right side
    24,065.64x = 488,401,840.55
  5. Step 5: Solve for x
    x = 488,401,840.55/24,065.64
  6. Step 6: Final answer
    x = 20,294.57

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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.