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Finding the Fourth Proportional to 19,951.84, 27,510.72 and 12,772.24

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Solution

The fourth proportional to 19,951.84, 27,510.72 and 12,772.24 is: 17,611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,951.84 : 27,510.72 = 12,772.24 : x
  2. Step 2: Convert to fraction form
    19,951.84/27,510.72 = 12,772.24/x
  3. Step 3: Cross multiply
    19,951.84x = 27,510.72 × 12,772.24
  4. Step 4: Simplify right side
    19,951.84x = 351,373,518.41
  5. Step 5: Solve for x
    x = 351,373,518.41/19,951.84
  6. Step 6: Final answer
    x = 17,611.08

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1.5x scale

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.