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Finding the Fourth Proportional to 27,954.12, 38,575.80 and 15,378.80

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Solution

The fourth proportional to 27,954.12, 38,575.80 and 15,378.80 is: 21,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954.12 : 38,575.80 = 15,378.80 : x
  2. Step 2: Convert to fraction form
    27,954.12/38,575.80 = 15,378.80/x
  3. Step 3: Cross multiply
    27,954.12x = 38,575.80 × 15,378.80
  4. Step 4: Simplify right side
    27,954.12x = 593,249,513.04
  5. Step 5: Solve for x
    x = 593,249,513.04/27,954.12
  6. Step 6: Final answer
    x = 21,222.26

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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.