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Finding the Fourth Proportional to 16,180.16, 24,269.52 and 7,409.12

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Solution

The fourth proportional to 16,180.16, 24,269.52 and 7,409.12 is: 11,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.16 : 24,269.52 = 7,409.12 : x
  2. Step 2: Convert to fraction form
    16,180.16/24,269.52 = 7,409.12/x
  3. Step 3: Cross multiply
    16,180.16x = 24,269.52 × 7,409.12
  4. Step 4: Simplify right side
    16,180.16x = 179,815,786.02
  5. Step 5: Solve for x
    x = 179,815,786.02/16,180.16
  6. Step 6: Final answer
    x = 11,113.35

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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.