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Finding the Fourth Proportional to 12,174.30, 16,802.10 and 7,138.80

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Solution

The fourth proportional to 12,174.30, 16,802.10 and 7,138.80 is: 9,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.30 : 16,802.10 = 7,138.80 : x
  2. Step 2: Convert to fraction form
    12,174.30/16,802.10 = 7,138.80/x
  3. Step 3: Cross multiply
    12,174.30x = 16,802.10 × 7,138.80
  4. Step 4: Simplify right side
    12,174.30x = 119,946,831.48
  5. Step 5: Solve for x
    x = 119,946,831.48/12,174.30
  6. Step 6: Final answer
    x = 9,852.46

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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.