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Finding the Fourth Proportional to 28,563.53, 42,854.04 and 12,781.84

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Solution

The fourth proportional to 28,563.53, 42,854.04 and 12,781.84 is: 19,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,563.53 : 42,854.04 = 12,781.84 : x
  2. Step 2: Convert to fraction form
    28,563.53/42,854.04 = 12,781.84/x
  3. Step 3: Cross multiply
    28,563.53x = 42,854.04 × 12,781.84
  4. Step 4: Simplify right side
    28,563.53x = 547,753,375.50
  5. Step 5: Solve for x
    x = 547,753,375.50/28,563.53
  6. Step 6: Final answer
    x = 19,176.67

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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.