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Finding the Fourth Proportional to 28,178.49, 38,886.24 and 16,241.76

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Solution

The fourth proportional to 28,178.49, 38,886.24 and 16,241.76 is: 22,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,178.49 : 38,886.24 = 16,241.76 : x
  2. Step 2: Convert to fraction form
    28,178.49/38,886.24 = 16,241.76/x
  3. Step 3: Cross multiply
    28,178.49x = 38,886.24 × 16,241.76
  4. Step 4: Simplify right side
    28,178.49x = 631,580,977.38
  5. Step 5: Solve for x
    x = 631,580,977.38/28,178.49
  6. Step 6: Final answer
    x = 22,413.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.