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Finding the Fourth Proportional to 19,178.85, 28,749.68 and 9,823.28

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Solution

The fourth proportional to 19,178.85, 28,749.68 and 9,823.28 is: 14,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,178.85 : 28,749.68 = 9,823.28 : x
  2. Step 2: Convert to fraction form
    19,178.85/28,749.68 = 9,823.28/x
  3. Step 3: Cross multiply
    19,178.85x = 28,749.68 × 9,823.28
  4. Step 4: Simplify right side
    19,178.85x = 282,416,107.43
  5. Step 5: Solve for x
    x = 282,416,107.43/19,178.85
  6. Step 6: Final answer
    x = 14,725.39

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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.