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Finding the Fourth Proportional to 12,130.16, 18,193.11 and 4,232.05

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Solution

The fourth proportional to 12,130.16, 18,193.11 and 4,232.05 is: 6,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.16 : 18,193.11 = 4,232.05 : x
  2. Step 2: Convert to fraction form
    12,130.16/18,193.11 = 4,232.05/x
  3. Step 3: Cross multiply
    12,130.16x = 18,193.11 × 4,232.05
  4. Step 4: Simplify right side
    12,130.16x = 76,994,089.82
  5. Step 5: Solve for x
    x = 76,994,089.82/12,130.16
  6. Step 6: Final answer
    x = 6,347.33

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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.