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Finding the Fourth Proportional to 12,284.92, 16,953.15 and 6,695.92

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Solution

The fourth proportional to 12,284.92, 16,953.15 and 6,695.92 is: 9,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.92 : 16,953.15 = 6,695.92 : x
  2. Step 2: Convert to fraction form
    12,284.92/16,953.15 = 6,695.92/x
  3. Step 3: Cross multiply
    12,284.92x = 16,953.15 × 6,695.92
  4. Step 4: Simplify right side
    12,284.92x = 113,516,936.15
  5. Step 5: Solve for x
    x = 113,516,936.15/12,284.92
  6. Step 6: Final answer
    x = 9,240.35

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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.