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Finding the Fourth Proportional to 29,565.86, 40,801.74 and 16,137.98

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Solution

The fourth proportional to 29,565.86, 40,801.74 and 16,137.98 is: 22,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,565.86 : 40,801.74 = 16,137.98 : x
  2. Step 2: Convert to fraction form
    29,565.86/40,801.74 = 16,137.98/x
  3. Step 3: Cross multiply
    29,565.86x = 40,801.74 × 16,137.98
  4. Step 4: Simplify right side
    29,565.86x = 658,457,460.08
  5. Step 5: Solve for x
    x = 658,457,460.08/29,565.86
  6. Step 6: Final answer
    x = 22,270.87

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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.