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Finding the Fourth Proportional to 15,190.72, 22,786 and 4,097.12

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Solution

The fourth proportional to 15,190.72, 22,786 and 4,097.12 is: 6,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,190.72 : 22,786 = 4,097.12 : x
  2. Step 2: Convert to fraction form
    15,190.72/22,786 = 4,097.12/x
  3. Step 3: Cross multiply
    15,190.72x = 22,786 × 4,097.12
  4. Step 4: Simplify right side
    15,190.72x = 93,356,976.32
  5. Step 5: Solve for x
    x = 93,356,976.32/15,190.72
  6. Step 6: Final answer
    x = 6,145.66

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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.