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Finding the Fourth Proportional to 12,862.59, 19,296.86 and 4,097.45

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Solution

The fourth proportional to 12,862.59, 19,296.86 and 4,097.45 is: 6,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.59 : 19,296.86 = 4,097.45 : x
  2. Step 2: Convert to fraction form
    12,862.59/19,296.86 = 4,097.45/x
  3. Step 3: Cross multiply
    12,862.59x = 19,296.86 × 4,097.45
  4. Step 4: Simplify right side
    12,862.59x = 79,067,802.04
  5. Step 5: Solve for x
    x = 79,067,802.04/12,862.59
  6. Step 6: Final answer
    x = 6,147.11

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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.