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Finding the Fourth Proportional to 20,830.40, 28,744.80 and 11,397.12

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Solution

The fourth proportional to 20,830.40, 28,744.80 and 11,397.12 is: 15,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.40 : 28,744.80 = 11,397.12 : x
  2. Step 2: Convert to fraction form
    20,830.40/28,744.80 = 11,397.12/x
  3. Step 3: Cross multiply
    20,830.40x = 28,744.80 × 11,397.12
  4. Step 4: Simplify right side
    20,830.40x = 327,607,934.98
  5. Step 5: Solve for x
    x = 327,607,934.98/20,830.40
  6. Step 6: Final answer
    x = 15,727.40

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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.