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Finding the Fourth Proportional to 17,775.59, 24,532.20 and 10,222.25

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Solution

The fourth proportional to 17,775.59, 24,532.20 and 10,222.25 is: 14,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775.59 : 24,532.20 = 10,222.25 : x
  2. Step 2: Convert to fraction form
    17,775.59/24,532.20 = 10,222.25/x
  3. Step 3: Cross multiply
    17,775.59x = 24,532.20 × 10,222.25
  4. Step 4: Simplify right side
    17,775.59x = 250,774,158.79
  5. Step 5: Solve for x
    x = 250,774,158.79/17,775.59
  6. Step 6: Final answer
    x = 14,107.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.