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Finding the Fourth Proportional to 24,307.16, 36,460.73 and 5,839.16

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Solution

The fourth proportional to 24,307.16, 36,460.73 and 5,839.16 is: 8,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,307.16 : 36,460.73 = 5,839.16 : x
  2. Step 2: Convert to fraction form
    24,307.16/36,460.73 = 5,839.16/x
  3. Step 3: Cross multiply
    24,307.16x = 36,460.73 × 5,839.16
  4. Step 4: Simplify right side
    24,307.16x = 212,899,824.69
  5. Step 5: Solve for x
    x = 212,899,824.69/24,307.16
  6. Step 6: Final answer
    x = 8,758.73

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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.