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Finding the Fourth Proportional to 12,285.72, 16,954.95 and 7,252.86

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Solution

The fourth proportional to 12,285.72, 16,954.95 and 7,252.86 is: 10,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.72 : 16,954.95 = 7,252.86 : x
  2. Step 2: Convert to fraction form
    12,285.72/16,954.95 = 7,252.86/x
  3. Step 3: Cross multiply
    12,285.72x = 16,954.95 × 7,252.86
  4. Step 4: Simplify right side
    12,285.72x = 122,971,878.66
  5. Step 5: Solve for x
    x = 122,971,878.66/12,285.72
  6. Step 6: Final answer
    x = 10,009.33

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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.