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Finding the Fourth Proportional to 16,301, 22,495.86 and 8,849.48

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Solution

The fourth proportional to 16,301, 22,495.86 and 8,849.48 is: 12,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301 : 22,495.86 = 8,849.48 : x
  2. Step 2: Convert to fraction form
    16,301/22,495.86 = 8,849.48/x
  3. Step 3: Cross multiply
    16,301x = 22,495.86 × 8,849.48
  4. Step 4: Simplify right side
    16,301x = 199,076,663.15
  5. Step 5: Solve for x
    x = 199,076,663.15/16,301
  6. Step 6: Final answer
    x = 12,212.54

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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.