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Finding the Fourth Proportional to 21,032.87, 31,540.66 and 7,878.47

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Solution

The fourth proportional to 21,032.87, 31,540.66 and 7,878.47 is: 11,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032.87 : 31,540.66 = 7,878.47 : x
  2. Step 2: Convert to fraction form
    21,032.87/31,540.66 = 7,878.47/x
  3. Step 3: Cross multiply
    21,032.87x = 31,540.66 × 7,878.47
  4. Step 4: Simplify right side
    21,032.87x = 248,491,966.19
  5. Step 5: Solve for x
    x = 248,491,966.19/21,032.87
  6. Step 6: Final answer
    x = 11,814.46

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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.