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Finding the Fourth Proportional to 10,019.18, 13,824.32 and 5,825.18

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Solution

The fourth proportional to 10,019.18, 13,824.32 and 5,825.18 is: 8,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.18 : 13,824.32 = 5,825.18 : x
  2. Step 2: Convert to fraction form
    10,019.18/13,824.32 = 5,825.18/x
  3. Step 3: Cross multiply
    10,019.18x = 13,824.32 × 5,825.18
  4. Step 4: Simplify right side
    10,019.18x = 80,529,152.38
  5. Step 5: Solve for x
    x = 80,529,152.38/10,019.18
  6. Step 6: Final answer
    x = 8,037.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.