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Finding the Fourth Proportional to 12,277.44, 18,409.68 and 4,378.86

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Solution

The fourth proportional to 12,277.44, 18,409.68 and 4,378.86 is: 6,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.44 : 18,409.68 = 4,378.86 : x
  2. Step 2: Convert to fraction form
    12,277.44/18,409.68 = 4,378.86/x
  3. Step 3: Cross multiply
    12,277.44x = 18,409.68 × 4,378.86
  4. Step 4: Simplify right side
    12,277.44x = 80,613,411.36
  5. Step 5: Solve for x
    x = 80,613,411.36/12,277.44
  6. Step 6: Final answer
    x = 6,565.98

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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.