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Finding the Fourth Proportional to 16,729.60, 23,085.84 and 9,277.60

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Solution

The fourth proportional to 16,729.60, 23,085.84 and 9,277.60 is: 12,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,729.60 : 23,085.84 = 9,277.60 : x
  2. Step 2: Convert to fraction form
    16,729.60/23,085.84 = 9,277.60/x
  3. Step 3: Cross multiply
    16,729.60x = 23,085.84 × 9,277.60
  4. Step 4: Simplify right side
    16,729.60x = 214,181,189.18
  5. Step 5: Solve for x
    x = 214,181,189.18/16,729.60
  6. Step 6: Final answer
    x = 12,802.53

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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.