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Finding the Fourth Proportional to 14,807.57, 22,215.47 and 8,238.36

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Solution

The fourth proportional to 14,807.57, 22,215.47 and 8,238.36 is: 12,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.57 : 22,215.47 = 8,238.36 : x
  2. Step 2: Convert to fraction form
    14,807.57/22,215.47 = 8,238.36/x
  3. Step 3: Cross multiply
    14,807.57x = 22,215.47 × 8,238.36
  4. Step 4: Simplify right side
    14,807.57x = 183,019,039.43
  5. Step 5: Solve for x
    x = 183,019,039.43/14,807.57
  6. Step 6: Final answer
    x = 12,359.83

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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.