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Finding the Fourth Proportional to 17,785.71, 24,543.05 and 9,827.87

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Solution

The fourth proportional to 17,785.71, 24,543.05 and 9,827.87 is: 13,561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.71 : 24,543.05 = 9,827.87 : x
  2. Step 2: Convert to fraction form
    17,785.71/24,543.05 = 9,827.87/x
  3. Step 3: Cross multiply
    17,785.71x = 24,543.05 × 9,827.87
  4. Step 4: Simplify right side
    17,785.71x = 241,205,732.95
  5. Step 5: Solve for x
    x = 241,205,732.95/17,785.71
  6. Step 6: Final answer
    x = 13,561.77

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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.