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Finding the Fourth Proportional to 21,710.42, 32,564.43 and 6,127.22

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Solution

The fourth proportional to 21,710.42, 32,564.43 and 6,127.22 is: 9,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.42 : 32,564.43 = 6,127.22 : x
  2. Step 2: Convert to fraction form
    21,710.42/32,564.43 = 6,127.22/x
  3. Step 3: Cross multiply
    21,710.42x = 32,564.43 × 6,127.22
  4. Step 4: Simplify right side
    21,710.42x = 199,529,426.78
  5. Step 5: Solve for x
    x = 199,529,426.78/21,710.42
  6. Step 6: Final answer
    x = 9,190.49

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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.