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Finding the Fourth Proportional to 19,274.50, 26,598.81 and 10,891

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Solution

The fourth proportional to 19,274.50, 26,598.81 and 10,891 is: 15,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,274.50 : 26,598.81 = 10,891 : x
  2. Step 2: Convert to fraction form
    19,274.50/26,598.81 = 10,891/x
  3. Step 3: Cross multiply
    19,274.50x = 26,598.81 × 10,891
  4. Step 4: Simplify right side
    19,274.50x = 289,687,639.71
  5. Step 5: Solve for x
    x = 289,687,639.71/19,274.50
  6. Step 6: Final answer
    x = 15,029.58

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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.