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Finding the Fourth Proportional to 23,207.40, 34,807.82 and 7,623

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Solution

The fourth proportional to 23,207.40, 34,807.82 and 7,623 is: 11,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,207.40 : 34,807.82 = 7,623 : x
  2. Step 2: Convert to fraction form
    23,207.40/34,807.82 = 7,623/x
  3. Step 3: Cross multiply
    23,207.40x = 34,807.82 × 7,623
  4. Step 4: Simplify right side
    23,207.40x = 265,340,011.86
  5. Step 5: Solve for x
    x = 265,340,011.86/23,207.40
  6. Step 6: Final answer
    x = 11,433.42

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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.