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Finding the Fourth Proportional to 12,208.40, 18,315.90 and 5,188.70

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Solution

The fourth proportional to 12,208.40, 18,315.90 and 5,188.70 is: 7,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.40 : 18,315.90 = 5,188.70 : x
  2. Step 2: Convert to fraction form
    12,208.40/18,315.90 = 5,188.70/x
  3. Step 3: Cross multiply
    12,208.40x = 18,315.90 × 5,188.70
  4. Step 4: Simplify right side
    12,208.40x = 95,035,710.33
  5. Step 5: Solve for x
    x = 95,035,710.33/12,208.40
  6. Step 6: Final answer
    x = 7,784.45

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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.