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Finding the Fourth Proportional to 16,802.60, 23,186.49 and 9,247.46

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Solution

The fourth proportional to 16,802.60, 23,186.49 and 9,247.46 is: 12,760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.60 : 23,186.49 = 9,247.46 : x
  2. Step 2: Convert to fraction form
    16,802.60/23,186.49 = 9,247.46/x
  3. Step 3: Cross multiply
    16,802.60x = 23,186.49 × 9,247.46
  4. Step 4: Simplify right side
    16,802.60x = 214,416,138.82
  5. Step 5: Solve for x
    x = 214,416,138.82/16,802.60
  6. Step 6: Final answer
    x = 12,760.89

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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.