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Finding the Fourth Proportional to 15,882.72, 23,684.12 and 14,774.56

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Solution

The fourth proportional to 15,882.72, 23,684.12 and 14,774.56 is: 22,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.72 : 23,684.12 = 14,774.56 : x
  2. Step 2: Convert to fraction form
    15,882.72/23,684.12 = 14,774.56/x
  3. Step 3: Cross multiply
    15,882.72x = 23,684.12 × 14,774.56
  4. Step 4: Simplify right side
    15,882.72x = 349,922,451.99
  5. Step 5: Solve for x
    x = 349,922,451.99/15,882.72
  6. Step 6: Final answer
    x = 22,031.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.