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Finding the Fourth Proportional to 19,686.78, 29,534.49 and 6,538.59

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Solution

The fourth proportional to 19,686.78, 29,534.49 and 6,538.59 is: 9,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.78 : 29,534.49 = 6,538.59 : x
  2. Step 2: Convert to fraction form
    19,686.78/29,534.49 = 6,538.59/x
  3. Step 3: Cross multiply
    19,686.78x = 29,534.49 × 6,538.59
  4. Step 4: Simplify right side
    19,686.78x = 193,113,920.97
  5. Step 5: Solve for x
    x = 193,113,920.97/19,686.78
  6. Step 6: Final answer
    x = 9,809.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.