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Finding the Fourth Proportional to 16,417.63, 22,656.33 and 8,965.63

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Solution

The fourth proportional to 16,417.63, 22,656.33 and 8,965.63 is: 12,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.63 : 22,656.33 = 8,965.63 : x
  2. Step 2: Convert to fraction form
    16,417.63/22,656.33 = 8,965.63/x
  3. Step 3: Cross multiply
    16,417.63x = 22,656.33 × 8,965.63
  4. Step 4: Simplify right side
    16,417.63x = 203,128,113.83
  5. Step 5: Solve for x
    x = 203,128,113.83/16,417.63
  6. Step 6: Final answer
    x = 12,372.56

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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.