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Finding the Fourth Proportional to 15,765.84, 23,649.98 and 9,192.69

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Solution

The fourth proportional to 15,765.84, 23,649.98 and 9,192.69 is: 13,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.84 : 23,649.98 = 9,192.69 : x
  2. Step 2: Convert to fraction form
    15,765.84/23,649.98 = 9,192.69/x
  3. Step 3: Cross multiply
    15,765.84x = 23,649.98 × 9,192.69
  4. Step 4: Simplify right side
    15,765.84x = 217,406,888.68
  5. Step 5: Solve for x
    x = 217,406,888.68/15,765.84
  6. Step 6: Final answer
    x = 13,789.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.