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Finding the Fourth Proportional to 12,288.36, 18,423.13 and 5,709.75

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Solution

The fourth proportional to 12,288.36, 18,423.13 and 5,709.75 is: 8,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.36 : 18,423.13 = 5,709.75 : x
  2. Step 2: Convert to fraction form
    12,288.36/18,423.13 = 5,709.75/x
  3. Step 3: Cross multiply
    12,288.36x = 18,423.13 × 5,709.75
  4. Step 4: Simplify right side
    12,288.36x = 105,191,466.52
  5. Step 5: Solve for x
    x = 105,191,466.52/12,288.36
  6. Step 6: Final answer
    x = 8,560.25

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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.