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Finding the Fourth Proportional to 12,641.60, 18,964.83 and 4,849.82

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Solution

The fourth proportional to 12,641.60, 18,964.83 and 4,849.82 is: 7,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.60 : 18,964.83 = 4,849.82 : x
  2. Step 2: Convert to fraction form
    12,641.60/18,964.83 = 4,849.82/x
  3. Step 3: Cross multiply
    12,641.60x = 18,964.83 × 4,849.82
  4. Step 4: Simplify right side
    12,641.60x = 91,976,011.83
  5. Step 5: Solve for x
    x = 91,976,011.83/12,641.60
  6. Step 6: Final answer
    x = 7,275.66

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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.