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Finding the Fourth Proportional to 19,251.76, 28,866.84 and 9,370

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Solution

The fourth proportional to 19,251.76, 28,866.84 and 9,370 is: 14,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,251.76 : 28,866.84 = 9,370 : x
  2. Step 2: Convert to fraction form
    19,251.76/28,866.84 = 9,370/x
  3. Step 3: Cross multiply
    19,251.76x = 28,866.84 × 9,370
  4. Step 4: Simplify right side
    19,251.76x = 270,482,290.80
  5. Step 5: Solve for x
    x = 270,482,290.80/19,251.76
  6. Step 6: Final answer
    x = 14,049.74

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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.