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Finding the Fourth Proportional to 15,039.02, 22,562.37 and 4,509

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Solution

The fourth proportional to 15,039.02, 22,562.37 and 4,509 is: 6,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,039.02 : 22,562.37 = 4,509 : x
  2. Step 2: Convert to fraction form
    15,039.02/22,562.37 = 4,509/x
  3. Step 3: Cross multiply
    15,039.02x = 22,562.37 × 4,509
  4. Step 4: Simplify right side
    15,039.02x = 101,733,726.33
  5. Step 5: Solve for x
    x = 101,733,726.33/15,039.02
  6. Step 6: Final answer
    x = 6,764.65

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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.