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Finding the Fourth Proportional to 12,288.64, 18,438.50 and 6,668.06

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Solution

The fourth proportional to 12,288.64, 18,438.50 and 6,668.06 is: 10,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.64 : 18,438.50 = 6,668.06 : x
  2. Step 2: Convert to fraction form
    12,288.64/18,438.50 = 6,668.06/x
  3. Step 3: Cross multiply
    12,288.64x = 18,438.50 × 6,668.06
  4. Step 4: Simplify right side
    12,288.64x = 122,949,024.31
  5. Step 5: Solve for x
    x = 122,949,024.31/12,288.64
  6. Step 6: Final answer
    x = 10,005.10

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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.