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Finding the Fourth Proportional to 16,300.54, 24,436.14 and 5,905

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Solution

The fourth proportional to 16,300.54, 24,436.14 and 5,905 is: 8,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.54 : 24,436.14 = 5,905 : x
  2. Step 2: Convert to fraction form
    16,300.54/24,436.14 = 5,905/x
  3. Step 3: Cross multiply
    16,300.54x = 24,436.14 × 5,905
  4. Step 4: Simplify right side
    16,300.54x = 144,295,406.70
  5. Step 5: Solve for x
    x = 144,295,406.70/16,300.54
  6. Step 6: Final answer
    x = 8,852.19

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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.