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Finding the Fourth Proportional to 23,207.22, 34,810.79 and 8,416.10

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Solution

The fourth proportional to 23,207.22, 34,810.79 and 8,416.10 is: 12,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,207.22 : 34,810.79 = 8,416.10 : x
  2. Step 2: Convert to fraction form
    23,207.22/34,810.79 = 8,416.10/x
  3. Step 3: Cross multiply
    23,207.22x = 34,810.79 × 8,416.10
  4. Step 4: Simplify right side
    23,207.22x = 292,970,873.58
  5. Step 5: Solve for x
    x = 292,970,873.58/23,207.22
  6. Step 6: Final answer
    x = 12,624.13

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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.