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Finding the Fourth Proportional to 21,756.20, 30,024.14 and 12,324.69

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Solution

The fourth proportional to 21,756.20, 30,024.14 and 12,324.69 is: 17,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,756.20 : 30,024.14 = 12,324.69 : x
  2. Step 2: Convert to fraction form
    21,756.20/30,024.14 = 12,324.69/x
  3. Step 3: Cross multiply
    21,756.20x = 30,024.14 × 12,324.69
  4. Step 4: Simplify right side
    21,756.20x = 370,038,156.39
  5. Step 5: Solve for x
    x = 370,038,156.39/21,756.20
  6. Step 6: Final answer
    x = 17,008.40

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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.