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Finding the Fourth Proportional to 12,705.43, 19,052.13 and 4,697.60

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Solution

The fourth proportional to 12,705.43, 19,052.13 and 4,697.60 is: 7,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.43 : 19,052.13 = 4,697.60 : x
  2. Step 2: Convert to fraction form
    12,705.43/19,052.13 = 4,697.60/x
  3. Step 3: Cross multiply
    12,705.43x = 19,052.13 × 4,697.60
  4. Step 4: Simplify right side
    12,705.43x = 89,499,167.14
  5. Step 5: Solve for x
    x = 89,499,167.14/12,705.43
  6. Step 6: Final answer
    x = 7,044.17

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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.