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Finding the Fourth Proportional to 12,828.59, 19,245.77 and 4,509.18

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Solution

The fourth proportional to 12,828.59, 19,245.77 and 4,509.18 is: 6,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.59 : 19,245.77 = 4,509.18 : x
  2. Step 2: Convert to fraction form
    12,828.59/19,245.77 = 4,509.18/x
  3. Step 3: Cross multiply
    12,828.59x = 19,245.77 × 4,509.18
  4. Step 4: Simplify right side
    12,828.59x = 86,782,641.17
  5. Step 5: Solve for x
    x = 86,782,641.17/12,828.59
  6. Step 6: Final answer
    x = 6,764.78

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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.