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Finding the Fourth Proportional to 13,270.91, 18,313.74 and 7,302.83

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Solution

The fourth proportional to 13,270.91, 18,313.74 and 7,302.83 is: 10,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270.91 : 18,313.74 = 7,302.83 : x
  2. Step 2: Convert to fraction form
    13,270.91/18,313.74 = 7,302.83/x
  3. Step 3: Cross multiply
    13,270.91x = 18,313.74 × 7,302.83
  4. Step 4: Simplify right side
    13,270.91x = 133,742,129.88
  5. Step 5: Solve for x
    x = 133,742,129.88/13,270.91
  6. Step 6: Final answer
    x = 10,077.84

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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.