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Finding the Fourth Proportional to 17,527.65, 24,188.72 and 9,570.48

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Solution

The fourth proportional to 17,527.65, 24,188.72 and 9,570.48 is: 13,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.65 : 24,188.72 = 9,570.48 : x
  2. Step 2: Convert to fraction form
    17,527.65/24,188.72 = 9,570.48/x
  3. Step 3: Cross multiply
    17,527.65x = 24,188.72 × 9,570.48
  4. Step 4: Simplify right side
    17,527.65x = 231,497,660.99
  5. Step 5: Solve for x
    x = 231,497,660.99/17,527.65
  6. Step 6: Final answer
    x = 13,207.57

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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.