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Finding the Fourth Proportional to 20,909.70, 28,842.75 and 13,838.40

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Solution

The fourth proportional to 20,909.70, 28,842.75 and 13,838.40 is: 19,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,909.70 : 28,842.75 = 13,838.40 : x
  2. Step 2: Convert to fraction form
    20,909.70/28,842.75 = 13,838.40/x
  3. Step 3: Cross multiply
    20,909.70x = 28,842.75 × 13,838.40
  4. Step 4: Simplify right side
    20,909.70x = 399,137,511.60
  5. Step 5: Solve for x
    x = 399,137,511.60/20,909.70
  6. Step 6: Final answer
    x = 19,088.63

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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.