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Finding the Fourth Proportional to 21,066.69, 31,589.45 and 7,021.80

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Solution

The fourth proportional to 21,066.69, 31,589.45 and 7,021.80 is: 10,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,066.69 : 31,589.45 = 7,021.80 : x
  2. Step 2: Convert to fraction form
    21,066.69/31,589.45 = 7,021.80/x
  3. Step 3: Cross multiply
    21,066.69x = 31,589.45 × 7,021.80
  4. Step 4: Simplify right side
    21,066.69x = 221,814,800.01
  5. Step 5: Solve for x
    x = 221,814,800.01/21,066.69
  6. Step 6: Final answer
    x = 10,529.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.