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Finding the Fourth Proportional to 21,848.34, 32,774.22 and 7,811.40

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Solution

The fourth proportional to 21,848.34, 32,774.22 and 7,811.40 is: 11,717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,848.34 : 32,774.22 = 7,811.40 : x
  2. Step 2: Convert to fraction form
    21,848.34/32,774.22 = 7,811.40/x
  3. Step 3: Cross multiply
    21,848.34x = 32,774.22 × 7,811.40
  4. Step 4: Simplify right side
    21,848.34x = 256,012,542.11
  5. Step 5: Solve for x
    x = 256,012,542.11/21,848.34
  6. Step 6: Final answer
    x = 11,717.71

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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.