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Finding the Fourth Proportional to 21,893.25, 32,831.37 and 7,098.60

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Solution

The fourth proportional to 21,893.25, 32,831.37 and 7,098.60 is: 10,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,893.25 : 32,831.37 = 7,098.60 : x
  2. Step 2: Convert to fraction form
    21,893.25/32,831.37 = 7,098.60/x
  3. Step 3: Cross multiply
    21,893.25x = 32,831.37 × 7,098.60
  4. Step 4: Simplify right side
    21,893.25x = 233,056,763.08
  5. Step 5: Solve for x
    x = 233,056,763.08/21,893.25
  6. Step 6: Final answer
    x = 10,645.14

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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.