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Finding the Fourth Proportional to 12,093.18, 18,141.21 and 7,411.02

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Solution

The fourth proportional to 12,093.18, 18,141.21 and 7,411.02 is: 11,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.18 : 18,141.21 = 7,411.02 : x
  2. Step 2: Convert to fraction form
    12,093.18/18,141.21 = 7,411.02/x
  3. Step 3: Cross multiply
    12,093.18x = 18,141.21 × 7,411.02
  4. Step 4: Simplify right side
    12,093.18x = 134,444,870.13
  5. Step 5: Solve for x
    x = 134,444,870.13/12,093.18
  6. Step 6: Final answer
    x = 11,117.41

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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.