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Finding the Fourth Proportional to 22,029.84, 30,401.10 and 12,598.38

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Solution

The fourth proportional to 22,029.84, 30,401.10 and 12,598.38 is: 17,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,029.84 : 30,401.10 = 12,598.38 : x
  2. Step 2: Convert to fraction form
    22,029.84/30,401.10 = 12,598.38/x
  3. Step 3: Cross multiply
    22,029.84x = 30,401.10 × 12,598.38
  4. Step 4: Simplify right side
    22,029.84x = 383,004,610.22
  5. Step 5: Solve for x
    x = 383,004,610.22/22,029.84
  6. Step 6: Final answer
    x = 17,385.72

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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.