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Finding the Fourth Proportional to 16,102.19, 24,151.37 and 4,416.32

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Solution

The fourth proportional to 16,102.19, 24,151.37 and 4,416.32 is: 6,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.19 : 24,151.37 = 4,416.32 : x
  2. Step 2: Convert to fraction form
    16,102.19/24,151.37 = 4,416.32/x
  3. Step 3: Cross multiply
    16,102.19x = 24,151.37 × 4,416.32
  4. Step 4: Simplify right side
    16,102.19x = 106,660,216.66
  5. Step 5: Solve for x
    x = 106,660,216.66/16,102.19
  6. Step 6: Final answer
    x = 6,623.96

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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.