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Finding the Fourth Proportional to 12,712.02, 19,068.03 and 3,478.02

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Solution

The fourth proportional to 12,712.02, 19,068.03 and 3,478.02 is: 5,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.02 : 19,068.03 = 3,478.02 : x
  2. Step 2: Convert to fraction form
    12,712.02/19,068.03 = 3,478.02/x
  3. Step 3: Cross multiply
    12,712.02x = 19,068.03 × 3,478.02
  4. Step 4: Simplify right side
    12,712.02x = 66,318,989.70
  5. Step 5: Solve for x
    x = 66,318,989.70/12,712.02
  6. Step 6: Final answer
    x = 5,217.03

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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.