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Finding the Fourth Proportional to 19,251.50, 26,567.15 and 10,419.50

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Solution

The fourth proportional to 19,251.50, 26,567.15 and 10,419.50 is: 14,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,251.50 : 26,567.15 = 10,419.50 : x
  2. Step 2: Convert to fraction form
    19,251.50/26,567.15 = 10,419.50/x
  3. Step 3: Cross multiply
    19,251.50x = 26,567.15 × 10,419.50
  4. Step 4: Simplify right side
    19,251.50x = 276,816,419.43
  5. Step 5: Solve for x
    x = 276,816,419.43/19,251.50
  6. Step 6: Final answer
    x = 14,378.95

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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.