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Finding the Fourth Proportional to 17,653.48, 24,363.24 and 9,697.24

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Solution

The fourth proportional to 17,653.48, 24,363.24 and 9,697.24 is: 13,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653.48 : 24,363.24 = 9,697.24 : x
  2. Step 2: Convert to fraction form
    17,653.48/24,363.24 = 9,697.24/x
  3. Step 3: Cross multiply
    17,653.48x = 24,363.24 × 9,697.24
  4. Step 4: Simplify right side
    17,653.48x = 236,256,185.46
  5. Step 5: Solve for x
    x = 236,256,185.46/17,653.48
  6. Step 6: Final answer
    x = 13,382.98

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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.