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Finding the Fourth Proportional to 17,368.80, 23,969.88 and 9,815.43

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Solution

The fourth proportional to 17,368.80, 23,969.88 and 9,815.43 is: 13,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,368.80 : 23,969.88 = 9,815.43 : x
  2. Step 2: Convert to fraction form
    17,368.80/23,969.88 = 9,815.43/x
  3. Step 3: Cross multiply
    17,368.80x = 23,969.88 × 9,815.43
  4. Step 4: Simplify right side
    17,368.80x = 235,274,679.25
  5. Step 5: Solve for x
    x = 235,274,679.25/17,368.80
  6. Step 6: Final answer
    x = 13,545.82

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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.