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Finding the Fourth Proportional to 19,199.50, 26,496.67 and 10,816

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Solution

The fourth proportional to 19,199.50, 26,496.67 and 10,816 is: 14,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,199.50 : 26,496.67 = 10,816 : x
  2. Step 2: Convert to fraction form
    19,199.50/26,496.67 = 10,816/x
  3. Step 3: Cross multiply
    19,199.50x = 26,496.67 × 10,816
  4. Step 4: Simplify right side
    19,199.50x = 286,587,982.72
  5. Step 5: Solve for x
    x = 286,587,982.72/19,199.50
  6. Step 6: Final answer
    x = 14,926.85

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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.