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Finding the Fourth Proportional to 14,502.82, 21,743.22 and 7,475.26

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Solution

The fourth proportional to 14,502.82, 21,743.22 and 7,475.26 is: 11,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.82 : 21,743.22 = 7,475.26 : x
  2. Step 2: Convert to fraction form
    14,502.82/21,743.22 = 7,475.26/x
  3. Step 3: Cross multiply
    14,502.82x = 21,743.22 × 7,475.26
  4. Step 4: Simplify right side
    14,502.82x = 162,536,222.74
  5. Step 5: Solve for x
    x = 162,536,222.74/14,502.82
  6. Step 6: Final answer
    x = 11,207.22

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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.