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Finding the Fourth Proportional to 16,535.88, 24,813 and 15,282

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Solution

The fourth proportional to 16,535.88, 24,813 and 15,282 is: 22,931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.88 : 24,813 = 15,282 : x
  2. Step 2: Convert to fraction form
    16,535.88/24,813 = 15,282/x
  3. Step 3: Cross multiply
    16,535.88x = 24,813 × 15,282
  4. Step 4: Simplify right side
    16,535.88x = 379,192,266
  5. Step 5: Solve for x
    x = 379,192,266/16,535.88
  6. Step 6: Final answer
    x = 22,931.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.