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Finding the Fourth Proportional to 21,444.70, 32,097.93 and 11,042.14

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Solution

The fourth proportional to 21,444.70, 32,097.93 and 11,042.14 is: 16,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,444.70 : 32,097.93 = 11,042.14 : x
  2. Step 2: Convert to fraction form
    21,444.70/32,097.93 = 11,042.14/x
  3. Step 3: Cross multiply
    21,444.70x = 32,097.93 × 11,042.14
  4. Step 4: Simplify right side
    21,444.70x = 354,429,836.77
  5. Step 5: Solve for x
    x = 354,429,836.77/21,444.70
  6. Step 6: Final answer
    x = 16,527.62

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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.