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Finding the Fourth Proportional to 17,655.34, 24,364.66 and 9,697.54

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Solution

The fourth proportional to 17,655.34, 24,364.66 and 9,697.54 is: 13,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.34 : 24,364.66 = 9,697.54 : x
  2. Step 2: Convert to fraction form
    17,655.34/24,364.66 = 9,697.54/x
  3. Step 3: Cross multiply
    17,655.34x = 24,364.66 × 9,697.54
  4. Step 4: Simplify right side
    17,655.34x = 236,277,264.94
  5. Step 5: Solve for x
    x = 236,277,264.94/17,655.34
  6. Step 6: Final answer
    x = 13,382.76

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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.