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Finding the Fourth Proportional to 21,071.14, 31,606.71 and 11,706.68

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Solution

The fourth proportional to 21,071.14, 31,606.71 and 11,706.68 is: 17,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.14 : 31,606.71 = 11,706.68 : x
  2. Step 2: Convert to fraction form
    21,071.14/31,606.71 = 11,706.68/x
  3. Step 3: Cross multiply
    21,071.14x = 31,606.71 × 11,706.68
  4. Step 4: Simplify right side
    21,071.14x = 370,009,497.15
  5. Step 5: Solve for x
    x = 370,009,497.15/21,071.14
  6. Step 6: Final answer
    x = 17,560.02

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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.