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Finding the Fourth Proportional to 17,053.16, 25,583.40 and 9,661.16

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Solution

The fourth proportional to 17,053.16, 25,583.40 and 9,661.16 is: 14,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,053.16 : 25,583.40 = 9,661.16 : x
  2. Step 2: Convert to fraction form
    17,053.16/25,583.40 = 9,661.16/x
  3. Step 3: Cross multiply
    17,053.16x = 25,583.40 × 9,661.16
  4. Step 4: Simplify right side
    17,053.16x = 247,165,320.74
  5. Step 5: Solve for x
    x = 247,165,320.74/17,053.16
  6. Step 6: Final answer
    x = 14,493.81

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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.