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Finding the Fourth Proportional to 21,782.76, 30,101.07 and 17,802.42

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Solution

The fourth proportional to 21,782.76, 30,101.07 and 17,802.42 is: 24,600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.76 : 30,101.07 = 17,802.42 : x
  2. Step 2: Convert to fraction form
    21,782.76/30,101.07 = 17,802.42/x
  3. Step 3: Cross multiply
    21,782.76x = 30,101.07 × 17,802.42
  4. Step 4: Simplify right side
    21,782.76x = 535,871,890.59
  5. Step 5: Solve for x
    x = 535,871,890.59/21,782.76
  6. Step 6: Final answer
    x = 24,600.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.