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Finding the Fourth Proportional to 18,652.60, 25,740.63 and 10,269.10

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Solution

The fourth proportional to 18,652.60, 25,740.63 and 10,269.10 is: 14,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,652.60 : 25,740.63 = 10,269.10 : x
  2. Step 2: Convert to fraction form
    18,652.60/25,740.63 = 10,269.10/x
  3. Step 3: Cross multiply
    18,652.60x = 25,740.63 × 10,269.10
  4. Step 4: Simplify right side
    18,652.60x = 264,333,039.18
  5. Step 5: Solve for x
    x = 264,333,039.18/18,652.60
  6. Step 6: Final answer
    x = 14,171.38

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Why These Related Problems?

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