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Finding the Fourth Proportional to 13,283.73, 18,332.50 and 7,463.32

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Solution

The fourth proportional to 13,283.73, 18,332.50 and 7,463.32 is: 10,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.73 : 18,332.50 = 7,463.32 : x
  2. Step 2: Convert to fraction form
    13,283.73/18,332.50 = 7,463.32/x
  3. Step 3: Cross multiply
    13,283.73x = 18,332.50 × 7,463.32
  4. Step 4: Simplify right side
    13,283.73x = 136,821,313.90
  5. Step 5: Solve for x
    x = 136,821,313.90/13,283.73
  6. Step 6: Final answer
    x = 10,299.92

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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.