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Finding the Fourth Proportional to 24,147.64, 36,223.76 and 7,503.20

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Solution

The fourth proportional to 24,147.64, 36,223.76 and 7,503.20 is: 11,255.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.64 : 36,223.76 = 7,503.20 : x
  2. Step 2: Convert to fraction form
    24,147.64/36,223.76 = 7,503.20/x
  3. Step 3: Cross multiply
    24,147.64x = 36,223.76 × 7,503.20
  4. Step 4: Simplify right side
    24,147.64x = 271,794,225.35
  5. Step 5: Solve for x
    x = 271,794,225.35/24,147.64
  6. Step 6: Final answer
    x = 11,255.52

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1.5x scale

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.