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Finding the Fourth Proportional to 19,267.68, 26,588.64 and 10,884

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Solution

The fourth proportional to 19,267.68, 26,588.64 and 10,884 is: 15,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,267.68 : 26,588.64 = 10,884 : x
  2. Step 2: Convert to fraction form
    19,267.68/26,588.64 = 10,884/x
  3. Step 3: Cross multiply
    19,267.68x = 26,588.64 × 10,884
  4. Step 4: Simplify right side
    19,267.68x = 289,390,757.76
  5. Step 5: Solve for x
    x = 289,390,757.76/19,267.68
  6. Step 6: Final answer
    x = 15,019.49

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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.