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Finding the Fourth Proportional to 28,802.34, 43,205.09 and 9,082.44

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Solution

The fourth proportional to 28,802.34, 43,205.09 and 9,082.44 is: 13,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,802.34 : 43,205.09 = 9,082.44 : x
  2. Step 2: Convert to fraction form
    28,802.34/43,205.09 = 9,082.44/x
  3. Step 3: Cross multiply
    28,802.34x = 43,205.09 × 9,082.44
  4. Step 4: Simplify right side
    28,802.34x = 392,407,592.21
  5. Step 5: Solve for x
    x = 392,407,592.21/28,802.34
  6. Step 6: Final answer
    x = 13,624.16

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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.