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Finding the Fourth Proportional to 22,821.23, 31,493.03 and 12,750.65

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Solution

The fourth proportional to 22,821.23, 31,493.03 and 12,750.65 is: 17,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,821.23 : 31,493.03 = 12,750.65 : x
  2. Step 2: Convert to fraction form
    22,821.23/31,493.03 = 12,750.65/x
  3. Step 3: Cross multiply
    22,821.23x = 31,493.03 × 12,750.65
  4. Step 4: Simplify right side
    22,821.23x = 401,556,539.22
  5. Step 5: Solve for x
    x = 401,556,539.22/22,821.23
  6. Step 6: Final answer
    x = 17,595.74

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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.