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Finding the Fourth Proportional to 19,575.45, 27,014.04 and 11,624.22

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Solution

The fourth proportional to 19,575.45, 27,014.04 and 11,624.22 is: 16,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,575.45 : 27,014.04 = 11,624.22 : x
  2. Step 2: Convert to fraction form
    19,575.45/27,014.04 = 11,624.22/x
  3. Step 3: Cross multiply
    19,575.45x = 27,014.04 × 11,624.22
  4. Step 4: Simplify right side
    19,575.45x = 314,017,144.05
  5. Step 5: Solve for x
    x = 314,017,144.05/19,575.45
  6. Step 6: Final answer
    x = 16,041.38

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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.