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Finding the Fourth Proportional to 14,838.30, 22,231.80 and 7,807.86

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Solution

The fourth proportional to 14,838.30, 22,231.80 and 7,807.86 is: 11,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.30 : 22,231.80 = 7,807.86 : x
  2. Step 2: Convert to fraction form
    14,838.30/22,231.80 = 7,807.86/x
  3. Step 3: Cross multiply
    14,838.30x = 22,231.80 × 7,807.86
  4. Step 4: Simplify right side
    14,838.30x = 173,582,781.95
  5. Step 5: Solve for x
    x = 173,582,781.95/14,838.30
  6. Step 6: Final answer
    x = 11,698.29

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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.