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Finding the Fourth Proportional to 15,234.35, 22,843.06 and 6,234.77

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Solution

The fourth proportional to 15,234.35, 22,843.06 and 6,234.77 is: 9,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234.35 : 22,843.06 = 6,234.77 : x
  2. Step 2: Convert to fraction form
    15,234.35/22,843.06 = 6,234.77/x
  3. Step 3: Cross multiply
    15,234.35x = 22,843.06 × 6,234.77
  4. Step 4: Simplify right side
    15,234.35x = 142,421,301.79
  5. Step 5: Solve for x
    x = 142,421,301.79/15,234.35
  6. Step 6: Final answer
    x = 9,348.70

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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.