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Finding the Fourth Proportional to 12,859.66, 19,291.65 and 4,097.26

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Solution

The fourth proportional to 12,859.66, 19,291.65 and 4,097.26 is: 6,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.66 : 19,291.65 = 4,097.26 : x
  2. Step 2: Convert to fraction form
    12,859.66/19,291.65 = 4,097.26/x
  3. Step 3: Cross multiply
    12,859.66x = 19,291.65 × 4,097.26
  4. Step 4: Simplify right side
    12,859.66x = 79,042,905.88
  5. Step 5: Solve for x
    x = 79,042,905.88/12,859.66
  6. Step 6: Final answer
    x = 6,146.58

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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.