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Finding the Fourth Proportional to 16,438.56, 24,664.05 and 9,869.31

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Solution

The fourth proportional to 16,438.56, 24,664.05 and 9,869.31 is: 14,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.56 : 24,664.05 = 9,869.31 : x
  2. Step 2: Convert to fraction form
    16,438.56/24,664.05 = 9,869.31/x
  3. Step 3: Cross multiply
    16,438.56x = 24,664.05 × 9,869.31
  4. Step 4: Simplify right side
    16,438.56x = 243,417,155.31
  5. Step 5: Solve for x
    x = 243,417,155.31/16,438.56
  6. Step 6: Final answer
    x = 14,807.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.