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Finding the Fourth Proportional to 15,536.08, 21,439.20 and 8,462.08

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Solution

The fourth proportional to 15,536.08, 21,439.20 and 8,462.08 is: 11,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.08 : 21,439.20 = 8,462.08 : x
  2. Step 2: Convert to fraction form
    15,536.08/21,439.20 = 8,462.08/x
  3. Step 3: Cross multiply
    15,536.08x = 21,439.20 × 8,462.08
  4. Step 4: Simplify right side
    15,536.08x = 181,420,225.54
  5. Step 5: Solve for x
    x = 181,420,225.54/15,536.08
  6. Step 6: Final answer
    x = 11,677.35

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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.