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Finding the Fourth Proportional to 12,357.36, 18,532.80 and 4,568.40

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Solution

The fourth proportional to 12,357.36, 18,532.80 and 4,568.40 is: 6,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.36 : 18,532.80 = 4,568.40 : x
  2. Step 2: Convert to fraction form
    12,357.36/18,532.80 = 4,568.40/x
  3. Step 3: Cross multiply
    12,357.36x = 18,532.80 × 4,568.40
  4. Step 4: Simplify right side
    12,357.36x = 84,665,243.52
  5. Step 5: Solve for x
    x = 84,665,243.52/12,357.36
  6. Step 6: Final answer
    x = 6,851.40

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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.