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Finding the Fourth Proportional to 20,341.28, 28,056.44 and 12,384

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Solution

The fourth proportional to 20,341.28, 28,056.44 and 12,384 is: 17,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,341.28 : 28,056.44 = 12,384 : x
  2. Step 2: Convert to fraction form
    20,341.28/28,056.44 = 12,384/x
  3. Step 3: Cross multiply
    20,341.28x = 28,056.44 × 12,384
  4. Step 4: Simplify right side
    20,341.28x = 347,450,952.96
  5. Step 5: Solve for x
    x = 347,450,952.96/20,341.28
  6. Step 6: Final answer
    x = 17,081.08

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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.