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Finding the Fourth Proportional to 20,705.84, 28,565.16 and 13,809.20

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Solution

The fourth proportional to 20,705.84, 28,565.16 and 13,809.20 is: 19,050.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.84 : 28,565.16 = 13,809.20 : x
  2. Step 2: Convert to fraction form
    20,705.84/28,565.16 = 13,809.20/x
  3. Step 3: Cross multiply
    20,705.84x = 28,565.16 × 13,809.20
  4. Step 4: Simplify right side
    20,705.84x = 394,462,007.47
  5. Step 5: Solve for x
    x = 394,462,007.47/20,705.84
  6. Step 6: Final answer
    x = 19,050.76

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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.