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Finding the Fourth Proportional to 12,313.44, 18,459 and 4,916.34

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Solution

The fourth proportional to 12,313.44, 18,459 and 4,916.34 is: 7,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.44 : 18,459 = 4,916.34 : x
  2. Step 2: Convert to fraction form
    12,313.44/18,459 = 4,916.34/x
  3. Step 3: Cross multiply
    12,313.44x = 18,459 × 4,916.34
  4. Step 4: Simplify right side
    12,313.44x = 90,750,720.06
  5. Step 5: Solve for x
    x = 90,750,720.06/12,313.44
  6. Step 6: Final answer
    x = 7,370.05

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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.