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Finding the Fourth Proportional to 21,762.68, 32,643.22 and 6,180.16

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Solution

The fourth proportional to 21,762.68, 32,643.22 and 6,180.16 is: 9,270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762.68 : 32,643.22 = 6,180.16 : x
  2. Step 2: Convert to fraction form
    21,762.68/32,643.22 = 6,180.16/x
  3. Step 3: Cross multiply
    21,762.68x = 32,643.22 × 6,180.16
  4. Step 4: Simplify right side
    21,762.68x = 201,740,322.52
  5. Step 5: Solve for x
    x = 201,740,322.52/21,762.68
  6. Step 6: Final answer
    x = 9,270.01

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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.