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Finding the Fourth Proportional to 20,828.16, 28,709.10 and 12,852.90

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Solution

The fourth proportional to 20,828.16, 28,709.10 and 12,852.90 is: 17,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828.16 : 28,709.10 = 12,852.90 : x
  2. Step 2: Convert to fraction form
    20,828.16/28,709.10 = 12,852.90/x
  3. Step 3: Cross multiply
    20,828.16x = 28,709.10 × 12,852.90
  4. Step 4: Simplify right side
    20,828.16x = 368,995,191.39
  5. Step 5: Solve for x
    x = 368,995,191.39/20,828.16
  6. Step 6: Final answer
    x = 17,716.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.