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Finding the Fourth Proportional to 14,699.41, 20,285.19 and 8,411.77

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Solution

The fourth proportional to 14,699.41, 20,285.19 and 8,411.77 is: 11,608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.41 : 20,285.19 = 8,411.77 : x
  2. Step 2: Convert to fraction form
    14,699.41/20,285.19 = 8,411.77/x
  3. Step 3: Cross multiply
    14,699.41x = 20,285.19 × 8,411.77
  4. Step 4: Simplify right side
    14,699.41x = 170,634,352.69
  5. Step 5: Solve for x
    x = 170,634,352.69/14,699.41
  6. Step 6: Final answer
    x = 11,608.25

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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.