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Finding the Fourth Proportional to 21,148.71, 31,737.42 and 11,295.06

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Solution

The fourth proportional to 21,148.71, 31,737.42 and 11,295.06 is: 16,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.71 : 31,737.42 = 11,295.06 : x
  2. Step 2: Convert to fraction form
    21,148.71/31,737.42 = 11,295.06/x
  3. Step 3: Cross multiply
    21,148.71x = 31,737.42 × 11,295.06
  4. Step 4: Simplify right side
    21,148.71x = 358,476,063.15
  5. Step 5: Solve for x
    x = 358,476,063.15/21,148.71
  6. Step 6: Final answer
    x = 16,950.26

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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.