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Finding the Fourth Proportional to 31,384.88, 43,312.03 and 17,238.64

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Solution

The fourth proportional to 31,384.88, 43,312.03 and 17,238.64 is: 23,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384.88 : 43,312.03 = 17,238.64 : x
  2. Step 2: Convert to fraction form
    31,384.88/43,312.03 = 17,238.64/x
  3. Step 3: Cross multiply
    31,384.88x = 43,312.03 × 17,238.64
  4. Step 4: Simplify right side
    31,384.88x = 746,640,492.84
  5. Step 5: Solve for x
    x = 746,640,492.84/31,384.88
  6. Step 6: Final answer
    x = 23,789.82

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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.