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Finding the Fourth Proportional to 15,823.10, 21,835.82 and 8,923.72

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Solution

The fourth proportional to 15,823.10, 21,835.82 and 8,923.72 is: 12,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.10 : 21,835.82 = 8,923.72 : x
  2. Step 2: Convert to fraction form
    15,823.10/21,835.82 = 8,923.72/x
  3. Step 3: Cross multiply
    15,823.10x = 21,835.82 × 8,923.72
  4. Step 4: Simplify right side
    15,823.10x = 194,856,765.96
  5. Step 5: Solve for x
    x = 194,856,765.96/15,823.10
  6. Step 6: Final answer
    x = 12,314.70

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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.