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Finding the Fourth Proportional to 21,161.63, 31,735.15 and 6,366.58

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Solution

The fourth proportional to 21,161.63, 31,735.15 and 6,366.58 is: 9,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.63 : 31,735.15 = 6,366.58 : x
  2. Step 2: Convert to fraction form
    21,161.63/31,735.15 = 6,366.58/x
  3. Step 3: Cross multiply
    21,161.63x = 31,735.15 × 6,366.58
  4. Step 4: Simplify right side
    21,161.63x = 202,044,371.29
  5. Step 5: Solve for x
    x = 202,044,371.29/21,161.63
  6. Step 6: Final answer
    x = 9,547.68

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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.