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Finding the Fourth Proportional to 21,185.42, 31,768.26 and 7,857.88

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Solution

The fourth proportional to 21,185.42, 31,768.26 and 7,857.88 is: 11,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,185.42 : 31,768.26 = 7,857.88 : x
  2. Step 2: Convert to fraction form
    21,185.42/31,768.26 = 7,857.88/x
  3. Step 3: Cross multiply
    21,185.42x = 31,768.26 × 7,857.88
  4. Step 4: Simplify right side
    21,185.42x = 249,631,174.89
  5. Step 5: Solve for x
    x = 249,631,174.89/21,185.42
  6. Step 6: Final answer
    x = 11,783.16

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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.