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Finding the Fourth Proportional to 16,009.56, 24,017.76 and 4,917

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Solution

The fourth proportional to 16,009.56, 24,017.76 and 4,917 is: 7,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.56 : 24,017.76 = 4,917 : x
  2. Step 2: Convert to fraction form
    16,009.56/24,017.76 = 4,917/x
  3. Step 3: Cross multiply
    16,009.56x = 24,017.76 × 4,917
  4. Step 4: Simplify right side
    16,009.56x = 118,095,325.92
  5. Step 5: Solve for x
    x = 118,095,325.92/16,009.56
  6. Step 6: Final answer
    x = 7,376.55

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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.