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Finding the Fourth Proportional to 14,402.31, 19,874.48 and 8,113.47

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Solution

The fourth proportional to 14,402.31, 19,874.48 and 8,113.47 is: 11,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.31 : 19,874.48 = 8,113.47 : x
  2. Step 2: Convert to fraction form
    14,402.31/19,874.48 = 8,113.47/x
  3. Step 3: Cross multiply
    14,402.31x = 19,874.48 × 8,113.47
  4. Step 4: Simplify right side
    14,402.31x = 161,250,956.68
  5. Step 5: Solve for x
    x = 161,250,956.68/14,402.31
  6. Step 6: Final answer
    x = 11,196.19

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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.