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Finding the Fourth Proportional to 18,859.60, 28,282.84 and 9,496

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Solution

The fourth proportional to 18,859.60, 28,282.84 and 9,496 is: 14,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,859.60 : 28,282.84 = 9,496 : x
  2. Step 2: Convert to fraction form
    18,859.60/28,282.84 = 9,496/x
  3. Step 3: Cross multiply
    18,859.60x = 28,282.84 × 9,496
  4. Step 4: Simplify right side
    18,859.60x = 268,573,848.64
  5. Step 5: Solve for x
    x = 268,573,848.64/18,859.60
  6. Step 6: Final answer
    x = 14,240.70

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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.