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Finding the Fourth Proportional to 23,107.40, 31,888.22 and 13,035.81

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Solution

The fourth proportional to 23,107.40, 31,888.22 and 13,035.81 is: 17,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.40 : 31,888.22 = 13,035.81 : x
  2. Step 2: Convert to fraction form
    23,107.40/31,888.22 = 13,035.81/x
  3. Step 3: Cross multiply
    23,107.40x = 31,888.22 × 13,035.81
  4. Step 4: Simplify right side
    23,107.40x = 415,688,711.98
  5. Step 5: Solve for x
    x = 415,688,711.98/23,107.40
  6. Step 6: Final answer
    x = 17,989.42

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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.