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Finding the Fourth Proportional to 12,018.69, 18,024.80 and 5,438.25

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Solution

The fourth proportional to 12,018.69, 18,024.80 and 5,438.25 is: 8,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018.69 : 18,024.80 = 5,438.25 : x
  2. Step 2: Convert to fraction form
    12,018.69/18,024.80 = 5,438.25/x
  3. Step 3: Cross multiply
    12,018.69x = 18,024.80 × 5,438.25
  4. Step 4: Simplify right side
    12,018.69x = 98,023,341.41
  5. Step 5: Solve for x
    x = 98,023,341.41/12,018.69
  6. Step 6: Final answer
    x = 8,155.91

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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.