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Finding the Fourth Proportional to 17,772.38, 24,525.73 and 9,814.11

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Solution

The fourth proportional to 17,772.38, 24,525.73 and 9,814.11 is: 13,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.38 : 24,525.73 = 9,814.11 : x
  2. Step 2: Convert to fraction form
    17,772.38/24,525.73 = 9,814.11/x
  3. Step 3: Cross multiply
    17,772.38x = 24,525.73 × 9,814.11
  4. Step 4: Simplify right side
    17,772.38x = 240,698,212.05
  5. Step 5: Solve for x
    x = 240,698,212.05/17,772.38
  6. Step 6: Final answer
    x = 13,543.39

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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.