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Finding the Fourth Proportional to 24,233, 36,364.80 and 13,147.40

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Solution

The fourth proportional to 24,233, 36,364.80 and 13,147.40 is: 19,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,233 : 36,364.80 = 13,147.40 : x
  2. Step 2: Convert to fraction form
    24,233/36,364.80 = 13,147.40/x
  3. Step 3: Cross multiply
    24,233x = 36,364.80 × 13,147.40
  4. Step 4: Simplify right side
    24,233x = 478,102,571.52
  5. Step 5: Solve for x
    x = 478,102,571.52/24,233
  6. Step 6: Final answer
    x = 19,729.40

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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.