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Finding the Fourth Proportional to 17,842.25, 24,621.48 and 9,775.86

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Solution

The fourth proportional to 17,842.25, 24,621.48 and 9,775.86 is: 13,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.25 : 24,621.48 = 9,775.86 : x
  2. Step 2: Convert to fraction form
    17,842.25/24,621.48 = 9,775.86/x
  3. Step 3: Cross multiply
    17,842.25x = 24,621.48 × 9,775.86
  4. Step 4: Simplify right side
    17,842.25x = 240,696,141.47
  5. Step 5: Solve for x
    x = 240,696,141.47/17,842.25
  6. Step 6: Final answer
    x = 13,490.24

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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.