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Finding the Fourth Proportional to 21,460.40, 32,194.92 and 7,420.96

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Solution

The fourth proportional to 21,460.40, 32,194.92 and 7,420.96 is: 11,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,460.40 : 32,194.92 = 7,420.96 : x
  2. Step 2: Convert to fraction form
    21,460.40/32,194.92 = 7,420.96/x
  3. Step 3: Cross multiply
    21,460.40x = 32,194.92 × 7,420.96
  4. Step 4: Simplify right side
    21,460.40x = 238,917,213.52
  5. Step 5: Solve for x
    x = 238,917,213.52/21,460.40
  6. Step 6: Final answer
    x = 11,132.93

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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.