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Finding the Fourth Proportional to 13,446.74, 18,543.48 and 8,970.68

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Solution

The fourth proportional to 13,446.74, 18,543.48 and 8,970.68 is: 12,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.74 : 18,543.48 = 8,970.68 : x
  2. Step 2: Convert to fraction form
    13,446.74/18,543.48 = 8,970.68/x
  3. Step 3: Cross multiply
    13,446.74x = 18,543.48 × 8,970.68
  4. Step 4: Simplify right side
    13,446.74x = 166,347,625.17
  5. Step 5: Solve for x
    x = 166,347,625.17/13,446.74
  6. Step 6: Final answer
    x = 12,370.85

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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.