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Finding the Fourth Proportional to 23,129.64, 31,919.49 and 14,182.08

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Solution

The fourth proportional to 23,129.64, 31,919.49 and 14,182.08 is: 19,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.64 : 31,919.49 = 14,182.08 : x
  2. Step 2: Convert to fraction form
    23,129.64/31,919.49 = 14,182.08/x
  3. Step 3: Cross multiply
    23,129.64x = 31,919.49 × 14,182.08
  4. Step 4: Simplify right side
    23,129.64x = 452,684,760.74
  5. Step 5: Solve for x
    x = 452,684,760.74/23,129.64
  6. Step 6: Final answer
    x = 19,571.63

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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.