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Finding the Fourth Proportional to 21,762.14, 30,020.29 and 13,262.20

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Solution

The fourth proportional to 21,762.14, 30,020.29 and 13,262.20 is: 18,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762.14 : 30,020.29 = 13,262.20 : x
  2. Step 2: Convert to fraction form
    21,762.14/30,020.29 = 13,262.20/x
  3. Step 3: Cross multiply
    21,762.14x = 30,020.29 × 13,262.20
  4. Step 4: Simplify right side
    21,762.14x = 398,134,981.83
  5. Step 5: Solve for x
    x = 398,134,981.83/21,762.14
  6. Step 6: Final answer
    x = 18,294.85

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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.