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Finding the Fourth Proportional to 17,896.16, 24,695.55 and 9,829.96

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Solution

The fourth proportional to 17,896.16, 24,695.55 and 9,829.96 is: 13,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896.16 : 24,695.55 = 9,829.96 : x
  2. Step 2: Convert to fraction form
    17,896.16/24,695.55 = 9,829.96/x
  3. Step 3: Cross multiply
    17,896.16x = 24,695.55 × 9,829.96
  4. Step 4: Simplify right side
    17,896.16x = 242,756,206.94
  5. Step 5: Solve for x
    x = 242,756,206.94/17,896.16
  6. Step 6: Final answer
    x = 13,564.71

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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.