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Finding the Fourth Proportional to 17,527.05, 24,187.68 and 9,569.61

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Solution

The fourth proportional to 17,527.05, 24,187.68 and 9,569.61 is: 13,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.05 : 24,187.68 = 9,569.61 : x
  2. Step 2: Convert to fraction form
    17,527.05/24,187.68 = 9,569.61/x
  3. Step 3: Cross multiply
    17,527.05x = 24,187.68 × 9,569.61
  4. Step 4: Simplify right side
    17,527.05x = 231,466,664.40
  5. Step 5: Solve for x
    x = 231,466,664.40/17,527.05
  6. Step 6: Final answer
    x = 13,206.25

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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.