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Finding the Fourth Proportional to 16,809.95, 23,197.31 and 9,256.22

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Solution

The fourth proportional to 16,809.95, 23,197.31 and 9,256.22 is: 12,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809.95 : 23,197.31 = 9,256.22 : x
  2. Step 2: Convert to fraction form
    16,809.95/23,197.31 = 9,256.22/x
  3. Step 3: Cross multiply
    16,809.95x = 23,197.31 × 9,256.22
  4. Step 4: Simplify right side
    16,809.95x = 214,719,242.50
  5. Step 5: Solve for x
    x = 214,719,242.50/16,809.95
  6. Step 6: Final answer
    x = 12,773.35

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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.