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Finding the Fourth Proportional to 14,147.48, 19,517.80 and 8,482.47

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Solution

The fourth proportional to 14,147.48, 19,517.80 and 8,482.47 is: 11,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.48 : 19,517.80 = 8,482.47 : x
  2. Step 2: Convert to fraction form
    14,147.48/19,517.80 = 8,482.47/x
  3. Step 3: Cross multiply
    14,147.48x = 19,517.80 × 8,482.47
  4. Step 4: Simplify right side
    14,147.48x = 165,559,152.97
  5. Step 5: Solve for x
    x = 165,559,152.97/14,147.48
  6. Step 6: Final answer
    x = 11,702.38

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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.