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Finding the Fourth Proportional to 14,929.70, 20,602.16 and 8,214.24

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Solution

The fourth proportional to 14,929.70, 20,602.16 and 8,214.24 is: 11,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,929.70 : 20,602.16 = 8,214.24 : x
  2. Step 2: Convert to fraction form
    14,929.70/20,602.16 = 8,214.24/x
  3. Step 3: Cross multiply
    14,929.70x = 20,602.16 × 8,214.24
  4. Step 4: Simplify right side
    14,929.70x = 169,230,942.68
  5. Step 5: Solve for x
    x = 169,230,942.68/14,929.70
  6. Step 6: Final answer
    x = 11,335.19

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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.