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Finding the Fourth Proportional to 25,884.32, 38,881.76 and 18,536.00

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Solution

The fourth proportional to 25,884.32, 38,881.76 and 18,536.00 is: 27,843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884.32 : 38,881.76 = 18,536.00 : x
  2. Step 2: Convert to fraction form
    25,884.32/38,881.76 = 18,536.00/x
  3. Step 3: Cross multiply
    25,884.32x = 38,881.76 × 18,536.00
  4. Step 4: Simplify right side
    25,884.32x = 720,712,016.27
  5. Step 5: Solve for x
    x = 720,712,016.27/25,884.32
  6. Step 6: Final answer
    x = 27,843.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.