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Finding the Fourth Proportional to 14,402.29, 19,874.51 and 8,029.58

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Solution

The fourth proportional to 14,402.29, 19,874.51 and 8,029.58 is: 11,080.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.29 : 19,874.51 = 8,029.58 : x
  2. Step 2: Convert to fraction form
    14,402.29/19,874.51 = 8,029.58/x
  3. Step 3: Cross multiply
    14,402.29x = 19,874.51 × 8,029.58
  4. Step 4: Simplify right side
    14,402.29x = 159,584,015.56
  5. Step 5: Solve for x
    x = 159,584,015.56/14,402.29
  6. Step 6: Final answer
    x = 11,080.46

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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.