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Finding the Fourth Proportional to 14,864.68, 22,282.91 and 5,498.34

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Solution

The fourth proportional to 14,864.68, 22,282.91 and 5,498.34 is: 8,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.68 : 22,282.91 = 5,498.34 : x
  2. Step 2: Convert to fraction form
    14,864.68/22,282.91 = 5,498.34/x
  3. Step 3: Cross multiply
    14,864.68x = 22,282.91 × 5,498.34
  4. Step 4: Simplify right side
    14,864.68x = 122,519,015.37
  5. Step 5: Solve for x
    x = 122,519,015.37/14,864.68
  6. Step 6: Final answer
    x = 8,242.29

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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.