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Finding the Fourth Proportional to 27,784.04, 38,342.04 and 15,209.60

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Solution

The fourth proportional to 27,784.04, 38,342.04 and 15,209.60 is: 20,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.04 : 38,342.04 = 15,209.60 : x
  2. Step 2: Convert to fraction form
    27,784.04/38,342.04 = 15,209.60/x
  3. Step 3: Cross multiply
    27,784.04x = 38,342.04 × 15,209.60
  4. Step 4: Simplify right side
    27,784.04x = 583,167,091.58
  5. Step 5: Solve for x
    x = 583,167,091.58/27,784.04
  6. Step 6: Final answer
    x = 20,989.28

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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.