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Finding the Fourth Proportional to 14,699.20, 20,284.48 and 8,411.36

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Solution

The fourth proportional to 14,699.20, 20,284.48 and 8,411.36 is: 11,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.20 : 20,284.48 = 8,411.36 : x
  2. Step 2: Convert to fraction form
    14,699.20/20,284.48 = 8,411.36/x
  3. Step 3: Cross multiply
    14,699.20x = 20,284.48 × 8,411.36
  4. Step 4: Simplify right side
    14,699.20x = 170,620,063.69
  5. Step 5: Solve for x
    x = 170,620,063.69/14,699.20
  6. Step 6: Final answer
    x = 11,607.44

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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.