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Finding the Fourth Proportional to 20,530.64, 30,795.96 and 8,210

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Solution

The fourth proportional to 20,530.64, 30,795.96 and 8,210 is: 12,315

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.64 : 30,795.96 = 8,210 : x
  2. Step 2: Convert to fraction form
    20,530.64/30,795.96 = 8,210/x
  3. Step 3: Cross multiply
    20,530.64x = 30,795.96 × 8,210
  4. Step 4: Simplify right side
    20,530.64x = 252,834,831.60
  5. Step 5: Solve for x
    x = 252,834,831.60/20,530.64
  6. Step 6: Final answer
    x = 12,315

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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.