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Finding the Fourth Proportional to 12,854.80, 19,284.49 and 4,539.65

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Solution

The fourth proportional to 12,854.80, 19,284.49 and 4,539.65 is: 6,810.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.80 : 19,284.49 = 4,539.65 : x
  2. Step 2: Convert to fraction form
    12,854.80/19,284.49 = 4,539.65/x
  3. Step 3: Cross multiply
    12,854.80x = 19,284.49 × 4,539.65
  4. Step 4: Simplify right side
    12,854.80x = 87,544,715.91
  5. Step 5: Solve for x
    x = 87,544,715.91/12,854.80
  6. Step 6: Final answer
    x = 6,810.27

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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.