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Finding the Fourth Proportional to 15,806.97, 21,810.47 and 9,519.75

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Solution

The fourth proportional to 15,806.97, 21,810.47 and 9,519.75 is: 13,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.97 : 21,810.47 = 9,519.75 : x
  2. Step 2: Convert to fraction form
    15,806.97/21,810.47 = 9,519.75/x
  3. Step 3: Cross multiply
    15,806.97x = 21,810.47 × 9,519.75
  4. Step 4: Simplify right side
    15,806.97x = 207,630,174.18
  5. Step 5: Solve for x
    x = 207,630,174.18/15,806.97
  6. Step 6: Final answer
    x = 13,135.36

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