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Finding the Fourth Proportional to 15,584.98, 23,377.50 and 6,820.57

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Solution

The fourth proportional to 15,584.98, 23,377.50 and 6,820.57 is: 10,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.98 : 23,377.50 = 6,820.57 : x
  2. Step 2: Convert to fraction form
    15,584.98/23,377.50 = 6,820.57/x
  3. Step 3: Cross multiply
    15,584.98x = 23,377.50 × 6,820.57
  4. Step 4: Simplify right side
    15,584.98x = 159,447,875.18
  5. Step 5: Solve for x
    x = 159,447,875.18/15,584.98
  6. Step 6: Final answer
    x = 10,230.87

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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.