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Finding the Fourth Proportional to 21,350.40, 32,045.14 and 10,827.69

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Solution

The fourth proportional to 21,350.40, 32,045.14 and 10,827.69 is: 16,251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,350.40 : 32,045.14 = 10,827.69 : x
  2. Step 2: Convert to fraction form
    21,350.40/32,045.14 = 10,827.69/x
  3. Step 3: Cross multiply
    21,350.40x = 32,045.14 × 10,827.69
  4. Step 4: Simplify right side
    21,350.40x = 346,974,841.93
  5. Step 5: Solve for x
    x = 346,974,841.93/21,350.40
  6. Step 6: Final answer
    x = 16,251.44

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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.