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Finding the Fourth Proportional to 21,065.38, 31,602.94 and 11,214.16

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Solution

The fourth proportional to 21,065.38, 31,602.94 and 11,214.16 is: 16,823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065.38 : 31,602.94 = 11,214.16 : x
  2. Step 2: Convert to fraction form
    21,065.38/31,602.94 = 11,214.16/x
  3. Step 3: Cross multiply
    21,065.38x = 31,602.94 × 11,214.16
  4. Step 4: Simplify right side
    21,065.38x = 354,400,425.63
  5. Step 5: Solve for x
    x = 354,400,425.63/21,065.38
  6. Step 6: Final answer
    x = 16,823.83

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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.