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Finding the Fourth Proportional to 20,477.84, 30,716.75 and 5,686.76

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Solution

The fourth proportional to 20,477.84, 30,716.75 and 5,686.76 is: 8,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.84 : 30,716.75 = 5,686.76 : x
  2. Step 2: Convert to fraction form
    20,477.84/30,716.75 = 5,686.76/x
  3. Step 3: Cross multiply
    20,477.84x = 30,716.75 × 5,686.76
  4. Step 4: Simplify right side
    20,477.84x = 174,678,876.24
  5. Step 5: Solve for x
    x = 174,678,876.24/20,477.84
  6. Step 6: Final answer
    x = 8,530.14

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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.