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Finding the Fourth Proportional to 14,506.82, 21,749.22 and 7,479.26

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Solution

The fourth proportional to 14,506.82, 21,749.22 and 7,479.26 is: 11,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.82 : 21,749.22 = 7,479.26 : x
  2. Step 2: Convert to fraction form
    14,506.82/21,749.22 = 7,479.26/x
  3. Step 3: Cross multiply
    14,506.82x = 21,749.22 × 7,479.26
  4. Step 4: Simplify right side
    14,506.82x = 162,668,071.18
  5. Step 5: Solve for x
    x = 162,668,071.18/14,506.82
  6. Step 6: Final answer
    x = 11,213.21

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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.