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Finding the Fourth Proportional to 15,233.78, 22,850.78 and 9,973.22

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Solution

The fourth proportional to 15,233.78, 22,850.78 and 9,973.22 is: 14,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233.78 : 22,850.78 = 9,973.22 : x
  2. Step 2: Convert to fraction form
    15,233.78/22,850.78 = 9,973.22/x
  3. Step 3: Cross multiply
    15,233.78x = 22,850.78 × 9,973.22
  4. Step 4: Simplify right side
    15,233.78x = 227,895,856.11
  5. Step 5: Solve for x
    x = 227,895,856.11/15,233.78
  6. Step 6: Final answer
    x = 14,959.90

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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.