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Finding the Fourth Proportional to 17,382.22, 23,970.18 and 13,085.60

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Solution

The fourth proportional to 17,382.22, 23,970.18 and 13,085.60 is: 18,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.22 : 23,970.18 = 13,085.60 : x
  2. Step 2: Convert to fraction form
    17,382.22/23,970.18 = 13,085.60/x
  3. Step 3: Cross multiply
    17,382.22x = 23,970.18 × 13,085.60
  4. Step 4: Simplify right side
    17,382.22x = 313,664,187.41
  5. Step 5: Solve for x
    x = 313,664,187.41/17,382.22
  6. Step 6: Final answer
    x = 18,045.12

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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.