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Finding the Fourth Proportional to 21,032.74, 31,540.47 and 7,878.34

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Solution

The fourth proportional to 21,032.74, 31,540.47 and 7,878.34 is: 11,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032.74 : 31,540.47 = 7,878.34 : x
  2. Step 2: Convert to fraction form
    21,032.74/31,540.47 = 7,878.34/x
  3. Step 3: Cross multiply
    21,032.74x = 31,540.47 × 7,878.34
  4. Step 4: Simplify right side
    21,032.74x = 248,486,546.42
  5. Step 5: Solve for x
    x = 248,486,546.42/21,032.74
  6. Step 6: Final answer
    x = 11,814.27

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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.