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Finding the Fourth Proportional to 15,201.12, 22,804.11 and 6,436.11

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Solution

The fourth proportional to 15,201.12, 22,804.11 and 6,436.11 is: 9,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.12 : 22,804.11 = 6,436.11 : x
  2. Step 2: Convert to fraction form
    15,201.12/22,804.11 = 6,436.11/x
  3. Step 3: Cross multiply
    15,201.12x = 22,804.11 × 6,436.11
  4. Step 4: Simplify right side
    15,201.12x = 146,769,760.41
  5. Step 5: Solve for x
    x = 146,769,760.41/15,201.12
  6. Step 6: Final answer
    x = 9,655.19

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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.