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Finding the Fourth Proportional to 16,853.64, 25,262.67 and 6,316.77

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Solution

The fourth proportional to 16,853.64, 25,262.67 and 6,316.77 is: 9,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.64 : 25,262.67 = 6,316.77 : x
  2. Step 2: Convert to fraction form
    16,853.64/25,262.67 = 6,316.77/x
  3. Step 3: Cross multiply
    16,853.64x = 25,262.67 × 6,316.77
  4. Step 4: Simplify right side
    16,853.64x = 159,578,475.98
  5. Step 5: Solve for x
    x = 159,578,475.98/16,853.64
  6. Step 6: Final answer
    x = 9,468.49

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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.