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Finding the Fourth Proportional to 19,176.90, 28,768.19 and 9,822.21

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Solution

The fourth proportional to 19,176.90, 28,768.19 and 9,822.21 is: 14,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,176.90 : 28,768.19 = 9,822.21 : x
  2. Step 2: Convert to fraction form
    19,176.90/28,768.19 = 9,822.21/x
  3. Step 3: Cross multiply
    19,176.90x = 28,768.19 × 9,822.21
  4. Step 4: Simplify right side
    19,176.90x = 282,567,154.39
  5. Step 5: Solve for x
    x = 282,567,154.39/19,176.90
  6. Step 6: Final answer
    x = 14,734.77

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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.