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Finding the Fourth Proportional to 21,140.60, 31,712.11 and 7,100.06

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Solution

The fourth proportional to 21,140.60, 31,712.11 and 7,100.06 is: 10,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,140.60 : 31,712.11 = 7,100.06 : x
  2. Step 2: Convert to fraction form
    21,140.60/31,712.11 = 7,100.06/x
  3. Step 3: Cross multiply
    21,140.60x = 31,712.11 × 7,100.06
  4. Step 4: Simplify right side
    21,140.60x = 225,157,707.42
  5. Step 5: Solve for x
    x = 225,157,707.42/21,140.60
  6. Step 6: Final answer
    x = 10,650.49

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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.