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Finding the Fourth Proportional to 19,234.10, 28,854.93 and 8,140.70

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Solution

The fourth proportional to 19,234.10, 28,854.93 and 8,140.70 is: 12,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,234.10 : 28,854.93 = 8,140.70 : x
  2. Step 2: Convert to fraction form
    19,234.10/28,854.93 = 8,140.70/x
  3. Step 3: Cross multiply
    19,234.10x = 28,854.93 × 8,140.70
  4. Step 4: Simplify right side
    19,234.10x = 234,899,328.65
  5. Step 5: Solve for x
    x = 234,899,328.65/19,234.10
  6. Step 6: Final answer
    x = 12,212.65

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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.