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Finding the Fourth Proportional to 15,823.84, 23,737.02 and 9,250.70

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Solution

The fourth proportional to 15,823.84, 23,737.02 and 9,250.70 is: 13,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.84 : 23,737.02 = 9,250.70 : x
  2. Step 2: Convert to fraction form
    15,823.84/23,737.02 = 9,250.70/x
  3. Step 3: Cross multiply
    15,823.84x = 23,737.02 × 9,250.70
  4. Step 4: Simplify right side
    15,823.84x = 219,584,050.91
  5. Step 5: Solve for x
    x = 219,584,050.91/15,823.84
  6. Step 6: Final answer
    x = 13,876.79

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1.5x scale

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.