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Finding the Fourth Proportional to 12,446.84, 18,670.52 and 3,681.76

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Solution

The fourth proportional to 12,446.84, 18,670.52 and 3,681.76 is: 5,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.84 : 18,670.52 = 3,681.76 : x
  2. Step 2: Convert to fraction form
    12,446.84/18,670.52 = 3,681.76/x
  3. Step 3: Cross multiply
    12,446.84x = 18,670.52 × 3,681.76
  4. Step 4: Simplify right side
    12,446.84x = 68,740,373.72
  5. Step 5: Solve for x
    x = 68,740,373.72/12,446.84
  6. Step 6: Final answer
    x = 5,522.72

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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.