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Finding the Fourth Proportional to 17,176.85, 23,698.68 and 9,622.16

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Solution

The fourth proportional to 17,176.85, 23,698.68 and 9,622.16 is: 13,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,176.85 : 23,698.68 = 9,622.16 : x
  2. Step 2: Convert to fraction form
    17,176.85/23,698.68 = 9,622.16/x
  3. Step 3: Cross multiply
    17,176.85x = 23,698.68 × 9,622.16
  4. Step 4: Simplify right side
    17,176.85x = 228,032,513.91
  5. Step 5: Solve for x
    x = 228,032,513.91/17,176.85
  6. Step 6: Final answer
    x = 13,275.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.