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Finding the Fourth Proportional to 13,503.09, 18,634.14 and 7,453.40

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Solution

The fourth proportional to 13,503.09, 18,634.14 and 7,453.40 is: 10,285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.09 : 18,634.14 = 7,453.40 : x
  2. Step 2: Convert to fraction form
    13,503.09/18,634.14 = 7,453.40/x
  3. Step 3: Cross multiply
    13,503.09x = 18,634.14 × 7,453.40
  4. Step 4: Simplify right side
    13,503.09x = 138,887,605.91
  5. Step 5: Solve for x
    x = 138,887,605.91/13,503.09
  6. Step 6: Final answer
    x = 10,285.62

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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.