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Finding the Fourth Proportional to 12,015.21, 16,583.95 and 7,771.01

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Solution

The fourth proportional to 12,015.21, 16,583.95 and 7,771.01 is: 10,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.21 : 16,583.95 = 7,771.01 : x
  2. Step 2: Convert to fraction form
    12,015.21/16,583.95 = 7,771.01/x
  3. Step 3: Cross multiply
    12,015.21x = 16,583.95 × 7,771.01
  4. Step 4: Simplify right side
    12,015.21x = 128,874,041.29
  5. Step 5: Solve for x
    x = 128,874,041.29/12,015.21
  6. Step 6: Final answer
    x = 10,725.91

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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.