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Finding the Fourth Proportional to 21,011.36, 31,517.76 and 7,160

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Solution

The fourth proportional to 21,011.36, 31,517.76 and 7,160 is: 10,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011.36 : 31,517.76 = 7,160 : x
  2. Step 2: Convert to fraction form
    21,011.36/31,517.76 = 7,160/x
  3. Step 3: Cross multiply
    21,011.36x = 31,517.76 × 7,160
  4. Step 4: Simplify right side
    21,011.36x = 225,667,161.60
  5. Step 5: Solve for x
    x = 225,667,161.60/21,011.36
  6. Step 6: Final answer
    x = 10,740.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.