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Finding the Fourth Proportional to 20,881.76, 31,322.02 and 7,733.84

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Solution

The fourth proportional to 20,881.76, 31,322.02 and 7,733.84 is: 11,600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881.76 : 31,322.02 = 7,733.84 : x
  2. Step 2: Convert to fraction form
    20,881.76/31,322.02 = 7,733.84/x
  3. Step 3: Cross multiply
    20,881.76x = 31,322.02 × 7,733.84
  4. Step 4: Simplify right side
    20,881.76x = 242,239,491.16
  5. Step 5: Solve for x
    x = 242,239,491.16/20,881.76
  6. Step 6: Final answer
    x = 11,600.53

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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.