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Finding the Fourth Proportional to 23,263.77, 34,875.17 and 9,233.65

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Solution

The fourth proportional to 23,263.77, 34,875.17 and 9,233.65 is: 13,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,263.77 : 34,875.17 = 9,233.65 : x
  2. Step 2: Convert to fraction form
    23,263.77/34,875.17 = 9,233.65/x
  3. Step 3: Cross multiply
    23,263.77x = 34,875.17 × 9,233.65
  4. Step 4: Simplify right side
    23,263.77x = 322,025,113.47
  5. Step 5: Solve for x
    x = 322,025,113.47/23,263.77
  6. Step 6: Final answer
    x = 13,842.34

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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.