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Finding the Fourth Proportional to 14,213.84, 19,618.44 and 8,906

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Solution

The fourth proportional to 14,213.84, 19,618.44 and 8,906 is: 12,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.84 : 19,618.44 = 8,906 : x
  2. Step 2: Convert to fraction form
    14,213.84/19,618.44 = 8,906/x
  3. Step 3: Cross multiply
    14,213.84x = 19,618.44 × 8,906
  4. Step 4: Simplify right side
    14,213.84x = 174,721,826.64
  5. Step 5: Solve for x
    x = 174,721,826.64/14,213.84
  6. Step 6: Final answer
    x = 12,292.37

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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.