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Finding the Fourth Proportional to 11,619.59, 17,429.43 and 2,854.50

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Solution

The fourth proportional to 11,619.59, 17,429.43 and 2,854.50 is: 4,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.59 : 17,429.43 = 2,854.50 : x
  2. Step 2: Convert to fraction form
    11,619.59/17,429.43 = 2,854.50/x
  3. Step 3: Cross multiply
    11,619.59x = 17,429.43 × 2,854.50
  4. Step 4: Simplify right side
    11,619.59x = 49,752,307.94
  5. Step 5: Solve for x
    x = 49,752,307.94/11,619.59
  6. Step 6: Final answer
    x = 4,281.76

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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.