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Finding the Fourth Proportional to 24,142.02, 36,220.47 and 8,347.38

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Solution

The fourth proportional to 24,142.02, 36,220.47 and 8,347.38 is: 12,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.02 : 36,220.47 = 8,347.38 : x
  2. Step 2: Convert to fraction form
    24,142.02/36,220.47 = 8,347.38/x
  3. Step 3: Cross multiply
    24,142.02x = 36,220.47 × 8,347.38
  4. Step 4: Simplify right side
    24,142.02x = 302,346,026.87
  5. Step 5: Solve for x
    x = 302,346,026.87/24,142.02
  6. Step 6: Final answer
    x = 12,523.64

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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.