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Finding the Fourth Proportional to 27,346.86, 37,739.16 and 16,024.50

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Solution

The fourth proportional to 27,346.86, 37,739.16 and 16,024.50 is: 22,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346.86 : 37,739.16 = 16,024.50 : x
  2. Step 2: Convert to fraction form
    27,346.86/37,739.16 = 16,024.50/x
  3. Step 3: Cross multiply
    27,346.86x = 37,739.16 × 16,024.50
  4. Step 4: Simplify right side
    27,346.86x = 604,751,169.42
  5. Step 5: Solve for x
    x = 604,751,169.42/27,346.86
  6. Step 6: Final answer
    x = 22,114.10

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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.