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Finding the Fourth Proportional to 25,536.22, 38,304.35 and 8,007.42

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Solution

The fourth proportional to 25,536.22, 38,304.35 and 8,007.42 is: 12,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.22 : 38,304.35 = 8,007.42 : x
  2. Step 2: Convert to fraction form
    25,536.22/38,304.35 = 8,007.42/x
  3. Step 3: Cross multiply
    25,536.22x = 38,304.35 × 8,007.42
  4. Step 4: Simplify right side
    25,536.22x = 306,719,018.28
  5. Step 5: Solve for x
    x = 306,719,018.28/25,536.22
  6. Step 6: Final answer
    x = 12,011.14

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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.