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Finding the Fourth Proportional to 13,374.98, 18,457.74 and 8,002.95

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Solution

The fourth proportional to 13,374.98, 18,457.74 and 8,002.95 is: 11,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.98 : 18,457.74 = 8,002.95 : x
  2. Step 2: Convert to fraction form
    13,374.98/18,457.74 = 8,002.95/x
  3. Step 3: Cross multiply
    13,374.98x = 18,457.74 × 8,002.95
  4. Step 4: Simplify right side
    13,374.98x = 147,716,370.33
  5. Step 5: Solve for x
    x = 147,716,370.33/13,374.98
  6. Step 6: Final answer
    x = 11,044.23

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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.