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Finding the Fourth Proportional to 20,780.76, 28,678.14 and 11,350.20

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Solution

The fourth proportional to 20,780.76, 28,678.14 and 11,350.20 is: 15,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780.76 : 28,678.14 = 11,350.20 : x
  2. Step 2: Convert to fraction form
    20,780.76/28,678.14 = 11,350.20/x
  3. Step 3: Cross multiply
    20,780.76x = 28,678.14 × 11,350.20
  4. Step 4: Simplify right side
    20,780.76x = 325,502,624.63
  5. Step 5: Solve for x
    x = 325,502,624.63/20,780.76
  6. Step 6: Final answer
    x = 15,663.65

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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.