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Finding the Fourth Proportional to 23,758.72, 32,785.92 and 14,325.12

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Solution

The fourth proportional to 23,758.72, 32,785.92 and 14,325.12 is: 19,767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.72 : 32,785.92 = 14,325.12 : x
  2. Step 2: Convert to fraction form
    23,758.72/32,785.92 = 14,325.12/x
  3. Step 3: Cross multiply
    23,758.72x = 32,785.92 × 14,325.12
  4. Step 4: Simplify right side
    23,758.72x = 469,662,238.31
  5. Step 5: Solve for x
    x = 469,662,238.31/23,758.72
  6. Step 6: Final answer
    x = 19,767.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.