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Finding the Fourth Proportional to 20,811.84, 31,203.18 and 7,662.51

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Solution

The fourth proportional to 20,811.84, 31,203.18 and 7,662.51 is: 11,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811.84 : 31,203.18 = 7,662.51 : x
  2. Step 2: Convert to fraction form
    20,811.84/31,203.18 = 7,662.51/x
  3. Step 3: Cross multiply
    20,811.84x = 31,203.18 × 7,662.51
  4. Step 4: Simplify right side
    20,811.84x = 239,094,678.78
  5. Step 5: Solve for x
    x = 239,094,678.78/20,811.84
  6. Step 6: Final answer
    x = 11,488.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.