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Finding the Fourth Proportional to 18,173.49, 25,078.05 and 10,214.16

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Solution

The fourth proportional to 18,173.49, 25,078.05 and 10,214.16 is: 14,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,173.49 : 25,078.05 = 10,214.16 : x
  2. Step 2: Convert to fraction form
    18,173.49/25,078.05 = 10,214.16/x
  3. Step 3: Cross multiply
    18,173.49x = 25,078.05 × 10,214.16
  4. Step 4: Simplify right side
    18,173.49x = 256,151,215.19
  5. Step 5: Solve for x
    x = 256,151,215.19/18,173.49
  6. Step 6: Final answer
    x = 14,094.77

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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.