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Finding the Fourth Proportional to 15,183, 22,774.50 and 5,320.05

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Solution

The fourth proportional to 15,183, 22,774.50 and 5,320.05 is: 7,980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,183 : 22,774.50 = 5,320.05 : x
  2. Step 2: Convert to fraction form
    15,183/22,774.50 = 5,320.05/x
  3. Step 3: Cross multiply
    15,183x = 22,774.50 × 5,320.05
  4. Step 4: Simplify right side
    15,183x = 121,161,478.73
  5. Step 5: Solve for x
    x = 121,161,478.73/15,183
  6. Step 6: Final answer
    x = 7,980.08

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Why These Related Problems?

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