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Finding the Fourth Proportional to 12,372, 18,557.64 and 4,580.64

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Solution

The fourth proportional to 12,372, 18,557.64 and 4,580.64 is: 6,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372 : 18,557.64 = 4,580.64 : x
  2. Step 2: Convert to fraction form
    12,372/18,557.64 = 4,580.64/x
  3. Step 3: Cross multiply
    12,372x = 18,557.64 × 4,580.64
  4. Step 4: Simplify right side
    12,372x = 85,005,868.09
  5. Step 5: Solve for x
    x = 85,005,868.09/12,372
  6. Step 6: Final answer
    x = 6,870.83

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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.