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Finding the Fourth Proportional to 17,785.84, 24,543.80 and 9,827.90

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Solution

The fourth proportional to 17,785.84, 24,543.80 and 9,827.90 is: 13,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.84 : 24,543.80 = 9,827.90 : x
  2. Step 2: Convert to fraction form
    17,785.84/24,543.80 = 9,827.90/x
  3. Step 3: Cross multiply
    17,785.84x = 24,543.80 × 9,827.90
  4. Step 4: Simplify right side
    17,785.84x = 241,214,012.02
  5. Step 5: Solve for x
    x = 241,214,012.02/17,785.84
  6. Step 6: Final answer
    x = 13,562.14

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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.