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Finding the Fourth Proportional to 23,141.84, 31,950.12 and 17,826.32

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Solution

The fourth proportional to 23,141.84, 31,950.12 and 17,826.32 is: 24,611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.84 : 31,950.12 = 17,826.32 : x
  2. Step 2: Convert to fraction form
    23,141.84/31,950.12 = 17,826.32/x
  3. Step 3: Cross multiply
    23,141.84x = 31,950.12 × 17,826.32
  4. Step 4: Simplify right side
    23,141.84x = 569,553,063.16
  5. Step 5: Solve for x
    x = 569,553,063.16/23,141.84
  6. Step 6: Final answer
    x = 24,611.40

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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.