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Finding the Fourth Proportional to 14,772.81, 20,385.64 and 8,398.50

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Solution

The fourth proportional to 14,772.81, 20,385.64 and 8,398.50 is: 11,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.81 : 20,385.64 = 8,398.50 : x
  2. Step 2: Convert to fraction form
    14,772.81/20,385.64 = 8,398.50/x
  3. Step 3: Cross multiply
    14,772.81x = 20,385.64 × 8,398.50
  4. Step 4: Simplify right side
    14,772.81x = 171,208,724.83
  5. Step 5: Solve for x
    x = 171,208,724.83/14,772.81
  6. Step 6: Final answer
    x = 11,589.45

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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.