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Finding the Fourth Proportional to 31,622.74, 47,427.96 and 11,894.64

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Solution

The fourth proportional to 31,622.74, 47,427.96 and 11,894.64 is: 17,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,622.74 : 47,427.96 = 11,894.64 : x
  2. Step 2: Convert to fraction form
    31,622.74/47,427.96 = 11,894.64/x
  3. Step 3: Cross multiply
    31,622.74x = 47,427.96 × 11,894.64
  4. Step 4: Simplify right side
    31,622.74x = 564,138,510.13
  5. Step 5: Solve for x
    x = 564,138,510.13/31,622.74
  6. Step 6: Final answer
    x = 17,839.65

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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.