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Finding the Fourth Proportional to 28,543.84, 42,822.07 and 8,552.52

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Solution

The fourth proportional to 28,543.84, 42,822.07 and 8,552.52 is: 12,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,543.84 : 42,822.07 = 8,552.52 : x
  2. Step 2: Convert to fraction form
    28,543.84/42,822.07 = 8,552.52/x
  3. Step 3: Cross multiply
    28,543.84x = 42,822.07 × 8,552.52
  4. Step 4: Simplify right side
    28,543.84x = 366,236,588.74
  5. Step 5: Solve for x
    x = 366,236,588.74/28,543.84
  6. Step 6: Final answer
    x = 12,830.67

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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.