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Finding the Fourth Proportional to 20,807.54, 31,208.24 and 7,656.86

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Solution

The fourth proportional to 20,807.54, 31,208.24 and 7,656.86 is: 11,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.54 : 31,208.24 = 7,656.86 : x
  2. Step 2: Convert to fraction form
    20,807.54/31,208.24 = 7,656.86/x
  3. Step 3: Cross multiply
    20,807.54x = 31,208.24 × 7,656.86
  4. Step 4: Simplify right side
    20,807.54x = 238,957,124.53
  5. Step 5: Solve for x
    x = 238,957,124.53/20,807.54
  6. Step 6: Final answer
    x = 11,484.16

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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.