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Finding the Fourth Proportional to 11,994.47, 16,578.65 and 10,567.25

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Solution

The fourth proportional to 11,994.47, 16,578.65 and 10,567.25 is: 14,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994.47 : 16,578.65 = 10,567.25 : x
  2. Step 2: Convert to fraction form
    11,994.47/16,578.65 = 10,567.25/x
  3. Step 3: Cross multiply
    11,994.47x = 16,578.65 × 10,567.25
  4. Step 4: Simplify right side
    11,994.47x = 175,190,686.38
  5. Step 5: Solve for x
    x = 175,190,686.38/11,994.47
  6. Step 6: Final answer
    x = 14,605.95

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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.