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Finding the Fourth Proportional to 17,655.36, 24,364.64 and 9,697.56

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Solution

The fourth proportional to 17,655.36, 24,364.64 and 9,697.56 is: 13,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.36 : 24,364.64 = 9,697.56 : x
  2. Step 2: Convert to fraction form
    17,655.36/24,364.64 = 9,697.56/x
  3. Step 3: Cross multiply
    17,655.36x = 24,364.64 × 9,697.56
  4. Step 4: Simplify right side
    17,655.36x = 236,277,558.28
  5. Step 5: Solve for x
    x = 236,277,558.28/17,655.36
  6. Step 6: Final answer
    x = 13,382.77

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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.