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Finding the Fourth Proportional to 16,417.69, 22,656.95 and 8,965.69

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Solution

The fourth proportional to 16,417.69, 22,656.95 and 8,965.69 is: 12,372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.69 : 22,656.95 = 8,965.69 : x
  2. Step 2: Convert to fraction form
    16,417.69/22,656.95 = 8,965.69/x
  3. Step 3: Cross multiply
    16,417.69x = 22,656.95 × 8,965.69
  4. Step 4: Simplify right side
    16,417.69x = 203,135,122.20
  5. Step 5: Solve for x
    x = 203,135,122.20/16,417.69
  6. Step 6: Final answer
    x = 12,372.94

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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.