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Finding the Fourth Proportional to 13,022.34, 19,513.02 and 10,068

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Solution

The fourth proportional to 13,022.34, 19,513.02 and 10,068 is: 15,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.34 : 19,513.02 = 10,068 : x
  2. Step 2: Convert to fraction form
    13,022.34/19,513.02 = 10,068/x
  3. Step 3: Cross multiply
    13,022.34x = 19,513.02 × 10,068
  4. Step 4: Simplify right side
    13,022.34x = 196,457,085.36
  5. Step 5: Solve for x
    x = 196,457,085.36/13,022.34
  6. Step 6: Final answer
    x = 15,086.16

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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.