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Finding the Fourth Proportional to 22,684.95, 34,005.24 and 10,208.11

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Solution

The fourth proportional to 22,684.95, 34,005.24 and 10,208.11 is: 15,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.95 : 34,005.24 = 10,208.11 : x
  2. Step 2: Convert to fraction form
    22,684.95/34,005.24 = 10,208.11/x
  3. Step 3: Cross multiply
    22,684.95x = 34,005.24 × 10,208.11
  4. Step 4: Simplify right side
    22,684.95x = 347,129,230.50
  5. Step 5: Solve for x
    x = 347,129,230.50/22,684.95
  6. Step 6: Final answer
    x = 15,302.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.