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Finding the Fourth Proportional to 21,056.78, 31,591.32 and 7,910.12

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Solution

The fourth proportional to 21,056.78, 31,591.32 and 7,910.12 is: 11,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,056.78 : 31,591.32 = 7,910.12 : x
  2. Step 2: Convert to fraction form
    21,056.78/31,591.32 = 7,910.12/x
  3. Step 3: Cross multiply
    21,056.78x = 31,591.32 × 7,910.12
  4. Step 4: Simplify right side
    21,056.78x = 249,891,132.16
  5. Step 5: Solve for x
    x = 249,891,132.16/21,056.78
  6. Step 6: Final answer
    x = 11,867.49

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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.