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Finding the Fourth Proportional to 21,005.80, 31,497.90 and 7,851.40

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Solution

The fourth proportional to 21,005.80, 31,497.90 and 7,851.40 is: 11,773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.80 : 31,497.90 = 7,851.40 : x
  2. Step 2: Convert to fraction form
    21,005.80/31,497.90 = 7,851.40/x
  3. Step 3: Cross multiply
    21,005.80x = 31,497.90 × 7,851.40
  4. Step 4: Simplify right side
    21,005.80x = 247,302,612.06
  5. Step 5: Solve for x
    x = 247,302,612.06/21,005.80
  6. Step 6: Final answer
    x = 11,773.06

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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.