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Finding the Fourth Proportional to 21,847.14, 32,762.36 and 7,804.53

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Solution

The fourth proportional to 21,847.14, 32,762.36 and 7,804.53 is: 11,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.14 : 32,762.36 = 7,804.53 : x
  2. Step 2: Convert to fraction form
    21,847.14/32,762.36 = 7,804.53/x
  3. Step 3: Cross multiply
    21,847.14x = 32,762.36 × 7,804.53
  4. Step 4: Simplify right side
    21,847.14x = 255,694,841.00
  5. Step 5: Solve for x
    x = 255,694,841.00/21,847.14
  6. Step 6: Final answer
    x = 11,703.81

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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.