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Finding the Fourth Proportional to 28,523.45, 42,774.21 and 9,799.98

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Solution

The fourth proportional to 28,523.45, 42,774.21 and 9,799.98 is: 14,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,523.45 : 42,774.21 = 9,799.98 : x
  2. Step 2: Convert to fraction form
    28,523.45/42,774.21 = 9,799.98/x
  3. Step 3: Cross multiply
    28,523.45x = 42,774.21 × 9,799.98
  4. Step 4: Simplify right side
    28,523.45x = 419,186,402.52
  5. Step 5: Solve for x
    x = 419,186,402.52/28,523.45
  6. Step 6: Final answer
    x = 14,696.21

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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.