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Finding the Fourth Proportional to 13,237.16, 18,267.82 and 7,930.96

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Solution

The fourth proportional to 13,237.16, 18,267.82 and 7,930.96 is: 10,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.16 : 18,267.82 = 7,930.96 : x
  2. Step 2: Convert to fraction form
    13,237.16/18,267.82 = 7,930.96/x
  3. Step 3: Cross multiply
    13,237.16x = 18,267.82 × 7,930.96
  4. Step 4: Simplify right side
    13,237.16x = 144,881,349.71
  5. Step 5: Solve for x
    x = 144,881,349.71/13,237.16
  6. Step 6: Final answer
    x = 10,945.05

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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.