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Finding the Fourth Proportional to 27,637.68, 38,140.04 and 15,701

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Solution

The fourth proportional to 27,637.68, 38,140.04 and 15,701 is: 21,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,637.68 : 38,140.04 = 15,701 : x
  2. Step 2: Convert to fraction form
    27,637.68/38,140.04 = 15,701/x
  3. Step 3: Cross multiply
    27,637.68x = 38,140.04 × 15,701
  4. Step 4: Simplify right side
    27,637.68x = 598,836,768.04
  5. Step 5: Solve for x
    x = 598,836,768.04/27,637.68
  6. Step 6: Final answer
    x = 21,667.40

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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.