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Finding the Fourth Proportional to 13,997.34, 19,316.34 and 8,030.43

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Solution

The fourth proportional to 13,997.34, 19,316.34 and 8,030.43 is: 11,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.34 : 19,316.34 = 8,030.43 : x
  2. Step 2: Convert to fraction form
    13,997.34/19,316.34 = 8,030.43/x
  3. Step 3: Cross multiply
    13,997.34x = 19,316.34 × 8,030.43
  4. Step 4: Simplify right side
    13,997.34x = 155,118,516.23
  5. Step 5: Solve for x
    x = 155,118,516.23/13,997.34
  6. Step 6: Final answer
    x = 11,082.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.