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Finding the Fourth Proportional to 22,262.47, 33,406.00 and 12,407.30

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Solution

The fourth proportional to 22,262.47, 33,406.00 and 12,407.30 is: 18,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262.47 : 33,406.00 = 12,407.30 : x
  2. Step 2: Convert to fraction form
    22,262.47/33,406.00 = 12,407.30/x
  3. Step 3: Cross multiply
    22,262.47x = 33,406.00 × 12,407.30
  4. Step 4: Simplify right side
    22,262.47x = 414,478,191.02
  5. Step 5: Solve for x
    x = 414,478,191.02/22,262.47
  6. Step 6: Final answer
    x = 18,617.80

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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.