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Finding the Fourth Proportional to 12,188.51, 18,284.28 and 4,289.16

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Solution

The fourth proportional to 12,188.51, 18,284.28 and 4,289.16 is: 6,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.51 : 18,284.28 = 4,289.16 : x
  2. Step 2: Convert to fraction form
    12,188.51/18,284.28 = 4,289.16/x
  3. Step 3: Cross multiply
    12,188.51x = 18,284.28 × 4,289.16
  4. Step 4: Simplify right side
    12,188.51x = 78,424,213.13
  5. Step 5: Solve for x
    x = 78,424,213.13/12,188.51
  6. Step 6: Final answer
    x = 6,434.27

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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.