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Finding the Fourth Proportional to 13,017.23, 17,962.90 and 7,274.31

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Solution

The fourth proportional to 13,017.23, 17,962.90 and 7,274.31 is: 10,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.23 : 17,962.90 = 7,274.31 : x
  2. Step 2: Convert to fraction form
    13,017.23/17,962.90 = 7,274.31/x
  3. Step 3: Cross multiply
    13,017.23x = 17,962.90 × 7,274.31
  4. Step 4: Simplify right side
    13,017.23x = 130,667,617.55
  5. Step 5: Solve for x
    x = 130,667,617.55/13,017.23
  6. Step 6: Final answer
    x = 10,038.05

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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.