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Finding the Fourth Proportional to 16,159.23, 22,301.73 and 9,085.50

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Solution

The fourth proportional to 16,159.23, 22,301.73 and 9,085.50 is: 12,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.23 : 22,301.73 = 9,085.50 : x
  2. Step 2: Convert to fraction form
    16,159.23/22,301.73 = 9,085.50/x
  3. Step 3: Cross multiply
    16,159.23x = 22,301.73 × 9,085.50
  4. Step 4: Simplify right side
    16,159.23x = 202,622,367.92
  5. Step 5: Solve for x
    x = 202,622,367.92/16,159.23
  6. Step 6: Final answer
    x = 12,539.11

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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.