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Finding the Fourth Proportional to 23,078.52, 34,616.06 and 7,284.09

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Solution

The fourth proportional to 23,078.52, 34,616.06 and 7,284.09 is: 10,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,078.52 : 34,616.06 = 7,284.09 : x
  2. Step 2: Convert to fraction form
    23,078.52/34,616.06 = 7,284.09/x
  3. Step 3: Cross multiply
    23,078.52x = 34,616.06 × 7,284.09
  4. Step 4: Simplify right side
    23,078.52x = 252,146,617.19
  5. Step 5: Solve for x
    x = 252,146,617.19/23,078.52
  6. Step 6: Final answer
    x = 10,925.60

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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.