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Finding the Fourth Proportional to 17,762.56, 24,507.84 and 10,306.24

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Solution

The fourth proportional to 17,762.56, 24,507.84 and 10,306.24 is: 14,220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.56 : 24,507.84 = 10,306.24 : x
  2. Step 2: Convert to fraction form
    17,762.56/24,507.84 = 10,306.24/x
  3. Step 3: Cross multiply
    17,762.56x = 24,507.84 × 10,306.24
  4. Step 4: Simplify right side
    17,762.56x = 252,583,680.92
  5. Step 5: Solve for x
    x = 252,583,680.92/17,762.56
  6. Step 6: Final answer
    x = 14,220.00

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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.