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Finding the Fourth Proportional to 13,276.98, 18,322.67 and 7,612.80

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Solution

The fourth proportional to 13,276.98, 18,322.67 and 7,612.80 is: 10,505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,276.98 : 18,322.67 = 7,612.80 : x
  2. Step 2: Convert to fraction form
    13,276.98/18,322.67 = 7,612.80/x
  3. Step 3: Cross multiply
    13,276.98x = 18,322.67 × 7,612.80
  4. Step 4: Simplify right side
    13,276.98x = 139,486,784.11
  5. Step 5: Solve for x
    x = 139,486,784.11/13,276.98
  6. Step 6: Final answer
    x = 10,505.91

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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.