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Finding the Fourth Proportional to 12,538.55, 18,809.64 and 3,774.15

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Solution

The fourth proportional to 12,538.55, 18,809.64 and 3,774.15 is: 5,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.55 : 18,809.64 = 3,774.15 : x
  2. Step 2: Convert to fraction form
    12,538.55/18,809.64 = 3,774.15/x
  3. Step 3: Cross multiply
    12,538.55x = 18,809.64 × 3,774.15
  4. Step 4: Simplify right side
    12,538.55x = 70,990,402.81
  5. Step 5: Solve for x
    x = 70,990,402.81/12,538.55
  6. Step 6: Final answer
    x = 5,661.77

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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.