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Finding the Fourth Proportional to 23,106.80, 31,887.70 and 13,035.21

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Solution

The fourth proportional to 23,106.80, 31,887.70 and 13,035.21 is: 17,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.80 : 31,887.70 = 13,035.21 : x
  2. Step 2: Convert to fraction form
    23,106.80/31,887.70 = 13,035.21/x
  3. Step 3: Cross multiply
    23,106.80x = 31,887.70 × 13,035.21
  4. Step 4: Simplify right side
    23,106.80x = 415,662,942.79
  5. Step 5: Solve for x
    x = 415,662,942.79/23,106.80
  6. Step 6: Final answer
    x = 17,988.77

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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.