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Finding the Fourth Proportional to 22,235.84, 30,693.26 and 13,744.47

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Solution

The fourth proportional to 22,235.84, 30,693.26 and 13,744.47 is: 18,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,235.84 : 30,693.26 = 13,744.47 : x
  2. Step 2: Convert to fraction form
    22,235.84/30,693.26 = 13,744.47/x
  3. Step 3: Cross multiply
    22,235.84x = 30,693.26 × 13,744.47
  4. Step 4: Simplify right side
    22,235.84x = 421,862,522.55
  5. Step 5: Solve for x
    x = 421,862,522.55/22,235.84
  6. Step 6: Final answer
    x = 18,972.19

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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.