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Finding the Fourth Proportional to 22,523.86, 31,078.65 and 14,136.58

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Solution

The fourth proportional to 22,523.86, 31,078.65 and 14,136.58 is: 19,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.86 : 31,078.65 = 14,136.58 : x
  2. Step 2: Convert to fraction form
    22,523.86/31,078.65 = 14,136.58/x
  3. Step 3: Cross multiply
    22,523.86x = 31,078.65 × 14,136.58
  4. Step 4: Simplify right side
    22,523.86x = 439,345,822.02
  5. Step 5: Solve for x
    x = 439,345,822.02/22,523.86
  6. Step 6: Final answer
    x = 19,505.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.