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Finding the Fourth Proportional to 23,133.78, 34,709.81 and 9,809.64

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Solution

The fourth proportional to 23,133.78, 34,709.81 and 9,809.64 is: 14,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.78 : 34,709.81 = 9,809.64 : x
  2. Step 2: Convert to fraction form
    23,133.78/34,709.81 = 9,809.64/x
  3. Step 3: Cross multiply
    23,133.78x = 34,709.81 × 9,809.64
  4. Step 4: Simplify right side
    23,133.78x = 340,490,691.52
  5. Step 5: Solve for x
    x = 340,490,691.52/23,133.78
  6. Step 6: Final answer
    x = 14,718.33

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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.