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Finding the Fourth Proportional to 23,203.16, 34,803.52 and 8,209.24

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Solution

The fourth proportional to 23,203.16, 34,803.52 and 8,209.24 is: 12,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.16 : 34,803.52 = 8,209.24 : x
  2. Step 2: Convert to fraction form
    23,203.16/34,803.52 = 8,209.24/x
  3. Step 3: Cross multiply
    23,203.16x = 34,803.52 × 8,209.24
  4. Step 4: Simplify right side
    23,203.16x = 285,710,448.52
  5. Step 5: Solve for x
    x = 285,710,448.52/23,203.16
  6. Step 6: Final answer
    x = 12,313.43

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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.