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Finding the Fourth Proportional to 16,384.50, 24,688.35 and 14,594.31

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Solution

The fourth proportional to 16,384.50, 24,688.35 and 14,594.31 is: 21,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.50 : 24,688.35 = 14,594.31 : x
  2. Step 2: Convert to fraction form
    16,384.50/24,688.35 = 14,594.31/x
  3. Step 3: Cross multiply
    16,384.50x = 24,688.35 × 14,594.31
  4. Step 4: Simplify right side
    16,384.50x = 360,309,433.29
  5. Step 5: Solve for x
    x = 360,309,433.29/16,384.50
  6. Step 6: Final answer
    x = 21,990.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.