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Finding the Fourth Proportional to 12,145.30, 18,223.62 and 4,747.84

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Solution

The fourth proportional to 12,145.30, 18,223.62 and 4,747.84 is: 7,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.30 : 18,223.62 = 4,747.84 : x
  2. Step 2: Convert to fraction form
    12,145.30/18,223.62 = 4,747.84/x
  3. Step 3: Cross multiply
    12,145.30x = 18,223.62 × 4,747.84
  4. Step 4: Simplify right side
    12,145.30x = 86,522,831.98
  5. Step 5: Solve for x
    x = 86,522,831.98/12,145.30
  6. Step 6: Final answer
    x = 7,123.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.