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Finding the Fourth Proportional to 23,214.09, 34,828.08 and 9,176.10

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Solution

The fourth proportional to 23,214.09, 34,828.08 and 9,176.10 is: 13,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214.09 : 34,828.08 = 9,176.10 : x
  2. Step 2: Convert to fraction form
    23,214.09/34,828.08 = 9,176.10/x
  3. Step 3: Cross multiply
    23,214.09x = 34,828.08 × 9,176.10
  4. Step 4: Simplify right side
    23,214.09x = 319,585,944.89
  5. Step 5: Solve for x
    x = 319,585,944.89/23,214.09
  6. Step 6: Final answer
    x = 13,766.90

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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.