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Finding the Fourth Proportional to 13,503.18, 18,635.30 and 7,534.78

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Solution

The fourth proportional to 13,503.18, 18,635.30 and 7,534.78 is: 10,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.18 : 18,635.30 = 7,534.78 : x
  2. Step 2: Convert to fraction form
    13,503.18/18,635.30 = 7,534.78/x
  3. Step 3: Cross multiply
    13,503.18x = 18,635.30 × 7,534.78
  4. Step 4: Simplify right side
    13,503.18x = 140,412,885.73
  5. Step 5: Solve for x
    x = 140,412,885.73/13,503.18
  6. Step 6: Final answer
    x = 10,398.51

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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.