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Finding the Fourth Proportional to 17,666.68, 26,500.02 and 7,816

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Solution

The fourth proportional to 17,666.68, 26,500.02 and 7,816 is: 11,724

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.68 : 26,500.02 = 7,816 : x
  2. Step 2: Convert to fraction form
    17,666.68/26,500.02 = 7,816/x
  3. Step 3: Cross multiply
    17,666.68x = 26,500.02 × 7,816
  4. Step 4: Simplify right side
    17,666.68x = 207,124,156.32
  5. Step 5: Solve for x
    x = 207,124,156.32/17,666.68
  6. Step 6: Final answer
    x = 11,724

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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.