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Finding the Fourth Proportional to 21,083.85, 31,594.50 and 8,588.61

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Solution

The fourth proportional to 21,083.85, 31,594.50 and 8,588.61 is: 12,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,083.85 : 31,594.50 = 8,588.61 : x
  2. Step 2: Convert to fraction form
    21,083.85/31,594.50 = 8,588.61/x
  3. Step 3: Cross multiply
    21,083.85x = 31,594.50 × 8,588.61
  4. Step 4: Simplify right side
    21,083.85x = 271,352,838.65
  5. Step 5: Solve for x
    x = 271,352,838.65/21,083.85
  6. Step 6: Final answer
    x = 12,870.17

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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.