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Finding the Fourth Proportional to 23,289, 34,934.73 and 6,647.74

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Solution

The fourth proportional to 23,289, 34,934.73 and 6,647.74 is: 9,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,289 : 34,934.73 = 6,647.74 : x
  2. Step 2: Convert to fraction form
    23,289/34,934.73 = 6,647.74/x
  3. Step 3: Cross multiply
    23,289x = 34,934.73 × 6,647.74
  4. Step 4: Simplify right side
    23,289x = 232,237,002.01
  5. Step 5: Solve for x
    x = 232,237,002.01/23,289
  6. Step 6: Final answer
    x = 9,971.96

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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.