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Finding the Fourth Proportional to 12,617.84, 18,925.52 and 3,852.80

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Solution

The fourth proportional to 12,617.84, 18,925.52 and 3,852.80 is: 5,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.84 : 18,925.52 = 3,852.80 : x
  2. Step 2: Convert to fraction form
    12,617.84/18,925.52 = 3,852.80/x
  3. Step 3: Cross multiply
    12,617.84x = 18,925.52 × 3,852.80
  4. Step 4: Simplify right side
    12,617.84x = 72,916,243.46
  5. Step 5: Solve for x
    x = 72,916,243.46/12,617.84
  6. Step 6: Final answer
    x = 5,778.82

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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.