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Finding the Fourth Proportional to 21,156.60, 31,701.51 and 7,811.22

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Solution

The fourth proportional to 21,156.60, 31,701.51 and 7,811.22 is: 11,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,156.60 : 31,701.51 = 7,811.22 : x
  2. Step 2: Convert to fraction form
    21,156.60/31,701.51 = 7,811.22/x
  3. Step 3: Cross multiply
    21,156.60x = 31,701.51 × 7,811.22
  4. Step 4: Simplify right side
    21,156.60x = 247,627,468.94
  5. Step 5: Solve for x
    x = 247,627,468.94/21,156.60
  6. Step 6: Final answer
    x = 11,704.50

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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.