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Finding the Fourth Proportional to 22,359, 30,855.48 and 12,423

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Solution

The fourth proportional to 22,359, 30,855.48 and 12,423 is: 17,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,359 : 30,855.48 = 12,423 : x
  2. Step 2: Convert to fraction form
    22,359/30,855.48 = 12,423/x
  3. Step 3: Cross multiply
    22,359x = 30,855.48 × 12,423
  4. Step 4: Simplify right side
    22,359x = 383,317,628.04
  5. Step 5: Solve for x
    x = 383,317,628.04/22,359
  6. Step 6: Final answer
    x = 17,143.77

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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.