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Finding the Fourth Proportional to 16,005.76, 24,009.93 and 4,318.81

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Solution

The fourth proportional to 16,005.76, 24,009.93 and 4,318.81 is: 6,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.76 : 24,009.93 = 4,318.81 : x
  2. Step 2: Convert to fraction form
    16,005.76/24,009.93 = 4,318.81/x
  3. Step 3: Cross multiply
    16,005.76x = 24,009.93 × 4,318.81
  4. Step 4: Simplify right side
    16,005.76x = 103,694,265.76
  5. Step 5: Solve for x
    x = 103,694,265.76/16,005.76
  6. Step 6: Final answer
    x = 6,478.56

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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.