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Finding the Fourth Proportional to 12,615.32, 18,925.74 and 3,850.02

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Solution

The fourth proportional to 12,615.32, 18,925.74 and 3,850.02 is: 5,775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.32 : 18,925.74 = 3,850.02 : x
  2. Step 2: Convert to fraction form
    12,615.32/18,925.74 = 3,850.02/x
  3. Step 3: Cross multiply
    12,615.32x = 18,925.74 × 3,850.02
  4. Step 4: Simplify right side
    12,615.32x = 72,864,477.51
  5. Step 5: Solve for x
    x = 72,864,477.51/12,615.32
  6. Step 6: Final answer
    x = 5,775.87

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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.