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Finding the Fourth Proportional to 17,655.11, 24,364.25 and 9,697.34

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Solution

The fourth proportional to 17,655.11, 24,364.25 and 9,697.34 is: 13,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.11 : 24,364.25 = 9,697.34 : x
  2. Step 2: Convert to fraction form
    17,655.11/24,364.25 = 9,697.34/x
  3. Step 3: Cross multiply
    17,655.11x = 24,364.25 × 9,697.34
  4. Step 4: Simplify right side
    17,655.11x = 236,268,332.16
  5. Step 5: Solve for x
    x = 236,268,332.16/17,655.11
  6. Step 6: Final answer
    x = 13,382.43

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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.