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Finding the Fourth Proportional to 14,499.82, 20,009.34 and 8,530.12

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Solution

The fourth proportional to 14,499.82, 20,009.34 and 8,530.12 is: 11,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,499.82 : 20,009.34 = 8,530.12 : x
  2. Step 2: Convert to fraction form
    14,499.82/20,009.34 = 8,530.12/x
  3. Step 3: Cross multiply
    14,499.82x = 20,009.34 × 8,530.12
  4. Step 4: Simplify right side
    14,499.82x = 170,682,071.32
  5. Step 5: Solve for x
    x = 170,682,071.32/14,499.82
  6. Step 6: Final answer
    x = 11,771.32

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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.