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Finding the Fourth Proportional to 13,271.10, 18,314.42 and 7,302.76

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Solution

The fourth proportional to 13,271.10, 18,314.42 and 7,302.76 is: 10,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,271.10 : 18,314.42 = 7,302.76 : x
  2. Step 2: Convert to fraction form
    13,271.10/18,314.42 = 7,302.76/x
  3. Step 3: Cross multiply
    13,271.10x = 18,314.42 × 7,302.76
  4. Step 4: Simplify right side
    13,271.10x = 133,745,741.77
  5. Step 5: Solve for x
    x = 133,745,741.77/13,271.10
  6. Step 6: Final answer
    x = 10,077.97

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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.