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Finding the Fourth Proportional to 21,802.44, 32,706.72 and 7,006.38

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Solution

The fourth proportional to 21,802.44, 32,706.72 and 7,006.38 is: 10,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.44 : 32,706.72 = 7,006.38 : x
  2. Step 2: Convert to fraction form
    21,802.44/32,706.72 = 7,006.38/x
  3. Step 3: Cross multiply
    21,802.44x = 32,706.72 × 7,006.38
  4. Step 4: Simplify right side
    21,802.44x = 229,155,708.87
  5. Step 5: Solve for x
    x = 229,155,708.87/21,802.44
  6. Step 6: Final answer
    x = 10,510.55

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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.