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Finding the Fourth Proportional to 19,138.58, 28,678.70 and 9,778.22

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Solution

The fourth proportional to 19,138.58, 28,678.70 and 9,778.22 is: 14,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.58 : 28,678.70 = 9,778.22 : x
  2. Step 2: Convert to fraction form
    19,138.58/28,678.70 = 9,778.22/x
  3. Step 3: Cross multiply
    19,138.58x = 28,678.70 × 9,778.22
  4. Step 4: Simplify right side
    19,138.58x = 280,426,518.97
  5. Step 5: Solve for x
    x = 280,426,518.97/19,138.58
  6. Step 6: Final answer
    x = 14,652.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.