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Finding the Fourth Proportional to 17,732.94, 24,471.39 and 9,775.74

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Solution

The fourth proportional to 17,732.94, 24,471.39 and 9,775.74 is: 13,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.94 : 24,471.39 = 9,775.74 : x
  2. Step 2: Convert to fraction form
    17,732.94/24,471.39 = 9,775.74/x
  3. Step 3: Cross multiply
    17,732.94x = 24,471.39 × 9,775.74
  4. Step 4: Simplify right side
    17,732.94x = 239,225,946.08
  5. Step 5: Solve for x
    x = 239,225,946.08/17,732.94
  6. Step 6: Final answer
    x = 13,490.48

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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.