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Finding the Fourth Proportional to 21,252.84, 31,842.31 and 14,914.27

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Solution

The fourth proportional to 21,252.84, 31,842.31 and 14,914.27 is: 22,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252.84 : 31,842.31 = 14,914.27 : x
  2. Step 2: Convert to fraction form
    21,252.84/31,842.31 = 14,914.27/x
  3. Step 3: Cross multiply
    21,252.84x = 31,842.31 × 14,914.27
  4. Step 4: Simplify right side
    21,252.84x = 474,904,808.76
  5. Step 5: Solve for x
    x = 474,904,808.76/21,252.84
  6. Step 6: Final answer
    x = 22,345.48

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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.