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Finding the Fourth Proportional to 19,100, 28,650.72 and 5,952.32

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Solution

The fourth proportional to 19,100, 28,650.72 and 5,952.32 is: 8,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,100 : 28,650.72 = 5,952.32 : x
  2. Step 2: Convert to fraction form
    19,100/28,650.72 = 5,952.32/x
  3. Step 3: Cross multiply
    19,100x = 28,650.72 × 5,952.32
  4. Step 4: Simplify right side
    19,100x = 170,538,253.67
  5. Step 5: Solve for x
    x = 170,538,253.67/19,100
  6. Step 6: Final answer
    x = 8,928.70

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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.