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Finding the Fourth Proportional to 22,549.72, 33,823.14 and 7,765.72

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Solution

The fourth proportional to 22,549.72, 33,823.14 and 7,765.72 is: 11,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.72 : 33,823.14 = 7,765.72 : x
  2. Step 2: Convert to fraction form
    22,549.72/33,823.14 = 7,765.72/x
  3. Step 3: Cross multiply
    22,549.72x = 33,823.14 × 7,765.72
  4. Step 4: Simplify right side
    22,549.72x = 262,661,034.76
  5. Step 5: Solve for x
    x = 262,661,034.76/22,549.72
  6. Step 6: Final answer
    x = 11,648.08

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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.