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Finding the Fourth Proportional to 12,137.01, 16,749.03 and 6,831.84

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Solution

The fourth proportional to 12,137.01, 16,749.03 and 6,831.84 is: 9,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.01 : 16,749.03 = 6,831.84 : x
  2. Step 2: Convert to fraction form
    12,137.01/16,749.03 = 6,831.84/x
  3. Step 3: Cross multiply
    12,137.01x = 16,749.03 × 6,831.84
  4. Step 4: Simplify right side
    12,137.01x = 114,426,693.12
  5. Step 5: Solve for x
    x = 114,426,693.12/12,137.01
  6. Step 6: Final answer
    x = 9,427.91

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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.