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Finding the Fourth Proportional to 21,184.67, 31,767.14 and 7,857.13

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Solution

The fourth proportional to 21,184.67, 31,767.14 and 7,857.13 is: 11,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,184.67 : 31,767.14 = 7,857.13 : x
  2. Step 2: Convert to fraction form
    21,184.67/31,767.14 = 7,857.13/x
  3. Step 3: Cross multiply
    21,184.67x = 31,767.14 × 7,857.13
  4. Step 4: Simplify right side
    21,184.67x = 249,598,509.42
  5. Step 5: Solve for x
    x = 249,598,509.42/21,184.67
  6. Step 6: Final answer
    x = 11,782.03

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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.