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Finding the Fourth Proportional to 21,354.06, 32,036.13 and 7,314.78

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Solution

The fourth proportional to 21,354.06, 32,036.13 and 7,314.78 is: 10,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.06 : 32,036.13 = 7,314.78 : x
  2. Step 2: Convert to fraction form
    21,354.06/32,036.13 = 7,314.78/x
  3. Step 3: Cross multiply
    21,354.06x = 32,036.13 × 7,314.78
  4. Step 4: Simplify right side
    21,354.06x = 234,337,243.00
  5. Step 5: Solve for x
    x = 234,337,243.00/21,354.06
  6. Step 6: Final answer
    x = 10,973.90

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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.