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Finding the Fourth Proportional to 12,544.32, 18,804.96 and 6,386.88

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Solution

The fourth proportional to 12,544.32, 18,804.96 and 6,386.88 is: 9,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.32 : 18,804.96 = 6,386.88 : x
  2. Step 2: Convert to fraction form
    12,544.32/18,804.96 = 6,386.88/x
  3. Step 3: Cross multiply
    12,544.32x = 18,804.96 × 6,386.88
  4. Step 4: Simplify right side
    12,544.32x = 120,105,022.92
  5. Step 5: Solve for x
    x = 120,105,022.92/12,544.32
  6. Step 6: Final answer
    x = 9,574.45

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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.