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Finding the Fourth Proportional to 13,408.41, 18,502.98 and 7,440.02

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Solution

The fourth proportional to 13,408.41, 18,502.98 and 7,440.02 is: 10,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.41 : 18,502.98 = 7,440.02 : x
  2. Step 2: Convert to fraction form
    13,408.41/18,502.98 = 7,440.02/x
  3. Step 3: Cross multiply
    13,408.41x = 18,502.98 × 7,440.02
  4. Step 4: Simplify right side
    13,408.41x = 137,662,541.26
  5. Step 5: Solve for x
    x = 137,662,541.26/13,408.41
  6. Step 6: Final answer
    x = 10,266.88

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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.