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Finding the Fourth Proportional to 16,009.30, 24,012.06 and 4,323.43

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Solution

The fourth proportional to 16,009.30, 24,012.06 and 4,323.43 is: 6,484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.30 : 24,012.06 = 4,323.43 : x
  2. Step 2: Convert to fraction form
    16,009.30/24,012.06 = 4,323.43/x
  3. Step 3: Cross multiply
    16,009.30x = 24,012.06 × 4,323.43
  4. Step 4: Simplify right side
    16,009.30x = 103,814,460.57
  5. Step 5: Solve for x
    x = 103,814,460.57/16,009.30
  6. Step 6: Final answer
    x = 6,484.63

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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.