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Finding the Fourth Proportional to 12,812.18, 19,214.50 and 4,914.10

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Solution

The fourth proportional to 12,812.18, 19,214.50 and 4,914.10 is: 7,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.18 : 19,214.50 = 4,914.10 : x
  2. Step 2: Convert to fraction form
    12,812.18/19,214.50 = 4,914.10/x
  3. Step 3: Cross multiply
    12,812.18x = 19,214.50 × 4,914.10
  4. Step 4: Simplify right side
    12,812.18x = 94,421,995.40
  5. Step 5: Solve for x
    x = 94,421,995.40/12,812.18
  6. Step 6: Final answer
    x = 7,369.71

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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.