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Finding the Fourth Proportional to 23,289.36, 34,934.70 and 7,707

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Solution

The fourth proportional to 23,289.36, 34,934.70 and 7,707 is: 11,560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,289.36 : 34,934.70 = 7,707 : x
  2. Step 2: Convert to fraction form
    23,289.36/34,934.70 = 7,707/x
  3. Step 3: Cross multiply
    23,289.36x = 34,934.70 × 7,707
  4. Step 4: Simplify right side
    23,289.36x = 269,241,732.90
  5. Step 5: Solve for x
    x = 269,241,732.90/23,289.36
  6. Step 6: Final answer
    x = 11,560.72

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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.