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Finding the Fourth Proportional to 21,373.97, 32,028.14 and 13,041.50

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Solution

The fourth proportional to 21,373.97, 32,028.14 and 13,041.50 is: 19,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,373.97 : 32,028.14 = 13,041.50 : x
  2. Step 2: Convert to fraction form
    21,373.97/32,028.14 = 13,041.50/x
  3. Step 3: Cross multiply
    21,373.97x = 32,028.14 × 13,041.50
  4. Step 4: Simplify right side
    21,373.97x = 417,694,762.46
  5. Step 5: Solve for x
    x = 417,694,762.46/21,373.97
  6. Step 6: Final answer
    x = 19,542.22

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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.