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Finding the Fourth Proportional to 22,030.38, 30,401.92 and 12,598.94

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Solution

The fourth proportional to 22,030.38, 30,401.92 and 12,598.94 is: 17,386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,030.38 : 30,401.92 = 12,598.94 : x
  2. Step 2: Convert to fraction form
    22,030.38/30,401.92 = 12,598.94/x
  3. Step 3: Cross multiply
    22,030.38x = 30,401.92 × 12,598.94
  4. Step 4: Simplify right side
    22,030.38x = 383,031,965.96
  5. Step 5: Solve for x
    x = 383,031,965.96/22,030.38
  6. Step 6: Final answer
    x = 17,386.54

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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.