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Finding the Fourth Proportional to 21,184.92, 31,767.51 and 7,857.38

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Solution

The fourth proportional to 21,184.92, 31,767.51 and 7,857.38 is: 11,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,184.92 : 31,767.51 = 7,857.38 : x
  2. Step 2: Convert to fraction form
    21,184.92/31,767.51 = 7,857.38/x
  3. Step 3: Cross multiply
    21,184.92x = 31,767.51 × 7,857.38
  4. Step 4: Simplify right side
    21,184.92x = 249,609,397.72
  5. Step 5: Solve for x
    x = 249,609,397.72/21,184.92
  6. Step 6: Final answer
    x = 11,782.41

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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.