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Finding the Fourth Proportional to 27,522, 37,989 and 17,586

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Solution

The fourth proportional to 27,522, 37,989 and 17,586 is: 24,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,522 : 37,989 = 17,586 : x
  2. Step 2: Convert to fraction form
    27,522/37,989 = 17,586/x
  3. Step 3: Cross multiply
    27,522x = 37,989 × 17,586
  4. Step 4: Simplify right side
    27,522x = 668,074,554
  5. Step 5: Solve for x
    x = 668,074,554/27,522
  6. Step 6: Final answer
    x = 24,274.20

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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.