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Finding the Fourth Proportional to 17,507.50, 24,159.94 and 9,549.79

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Solution

The fourth proportional to 17,507.50, 24,159.94 and 9,549.79 is: 13,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.50 : 24,159.94 = 9,549.79 : x
  2. Step 2: Convert to fraction form
    17,507.50/24,159.94 = 9,549.79/x
  3. Step 3: Cross multiply
    17,507.50x = 24,159.94 × 9,549.79
  4. Step 4: Simplify right side
    17,507.50x = 230,722,269.14
  5. Step 5: Solve for x
    x = 230,722,269.14/17,507.50
  6. Step 6: Final answer
    x = 13,178.48

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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.