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Finding the Fourth Proportional to 12,886.97, 19,418.23 and 10,598.23

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Solution

The fourth proportional to 12,886.97, 19,418.23 and 10,598.23 is: 15,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.97 : 19,418.23 = 10,598.23 : x
  2. Step 2: Convert to fraction form
    12,886.97/19,418.23 = 10,598.23/x
  3. Step 3: Cross multiply
    12,886.97x = 19,418.23 × 10,598.23
  4. Step 4: Simplify right side
    12,886.97x = 205,798,796.03
  5. Step 5: Solve for x
    x = 205,798,796.03/12,886.97
  6. Step 6: Final answer
    x = 15,969.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.