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Finding the Fourth Proportional to 24,820.86, 37,262.88 and 16,092.30

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Solution

The fourth proportional to 24,820.86, 37,262.88 and 16,092.30 is: 24,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820.86 : 37,262.88 = 16,092.30 : x
  2. Step 2: Convert to fraction form
    24,820.86/37,262.88 = 16,092.30/x
  3. Step 3: Cross multiply
    24,820.86x = 37,262.88 × 16,092.30
  4. Step 4: Simplify right side
    24,820.86x = 599,645,443.82
  5. Step 5: Solve for x
    x = 599,645,443.82/24,820.86
  6. Step 6: Final answer
    x = 24,158.93

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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.