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Finding the Fourth Proportional to 15,202.11, 22,803.03 and 6,435.75

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Solution

The fourth proportional to 15,202.11, 22,803.03 and 6,435.75 is: 9,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.11 : 22,803.03 = 6,435.75 : x
  2. Step 2: Convert to fraction form
    15,202.11/22,803.03 = 6,435.75/x
  3. Step 3: Cross multiply
    15,202.11x = 22,803.03 × 6,435.75
  4. Step 4: Simplify right side
    15,202.11x = 146,754,600.32
  5. Step 5: Solve for x
    x = 146,754,600.32/15,202.11
  6. Step 6: Final answer
    x = 9,653.57

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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.