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Finding the Fourth Proportional to 17,155.49, 25,741.44 and 9,665.02

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Solution

The fourth proportional to 17,155.49, 25,741.44 and 9,665.02 is: 14,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,155.49 : 25,741.44 = 9,665.02 : x
  2. Step 2: Convert to fraction form
    17,155.49/25,741.44 = 9,665.02/x
  3. Step 3: Cross multiply
    17,155.49x = 25,741.44 × 9,665.02
  4. Step 4: Simplify right side
    17,155.49x = 248,791,355.40
  5. Step 5: Solve for x
    x = 248,791,355.40/17,155.49
  6. Step 6: Final answer
    x = 14,502.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.