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Finding the Fourth Proportional to 13,184.97, 19,780.69 and 6,065.88

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Solution

The fourth proportional to 13,184.97, 19,780.69 and 6,065.88 is: 9,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.97 : 19,780.69 = 6,065.88 : x
  2. Step 2: Convert to fraction form
    13,184.97/19,780.69 = 6,065.88/x
  3. Step 3: Cross multiply
    13,184.97x = 19,780.69 × 6,065.88
  4. Step 4: Simplify right side
    13,184.97x = 119,987,291.86
  5. Step 5: Solve for x
    x = 119,987,291.86/13,184.97
  6. Step 6: Final answer
    x = 9,100.31

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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.