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Finding the Fourth Proportional to 22,235.34, 30,688.56 and 12,809.38

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Solution

The fourth proportional to 22,235.34, 30,688.56 and 12,809.38 is: 17,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,235.34 : 30,688.56 = 12,809.38 : x
  2. Step 2: Convert to fraction form
    22,235.34/30,688.56 = 12,809.38/x
  3. Step 3: Cross multiply
    22,235.34x = 30,688.56 × 12,809.38
  4. Step 4: Simplify right side
    22,235.34x = 393,101,426.69
  5. Step 5: Solve for x
    x = 393,101,426.69/22,235.34
  6. Step 6: Final answer
    x = 17,679.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.