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Finding the Fourth Proportional to 16,454.82, 22,701.19 and 9,738

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Solution

The fourth proportional to 16,454.82, 22,701.19 and 9,738 is: 13,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.82 : 22,701.19 = 9,738 : x
  2. Step 2: Convert to fraction form
    16,454.82/22,701.19 = 9,738/x
  3. Step 3: Cross multiply
    16,454.82x = 22,701.19 × 9,738
  4. Step 4: Simplify right side
    16,454.82x = 221,064,188.22
  5. Step 5: Solve for x
    x = 221,064,188.22/16,454.82
  6. Step 6: Final answer
    x = 13,434.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.