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Finding the Fourth Proportional to 16,781.10, 23,152.16 and 10,405.40

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Solution

The fourth proportional to 16,781.10, 23,152.16 and 10,405.40 is: 14,355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.10 : 23,152.16 = 10,405.40 : x
  2. Step 2: Convert to fraction form
    16,781.10/23,152.16 = 10,405.40/x
  3. Step 3: Cross multiply
    16,781.10x = 23,152.16 × 10,405.40
  4. Step 4: Simplify right side
    16,781.10x = 240,907,346.82
  5. Step 5: Solve for x
    x = 240,907,346.82/16,781.10
  6. Step 6: Final answer
    x = 14,355.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.