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Finding the Fourth Proportional to 12,085.51, 18,108.54 and 6,154.24

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Solution

The fourth proportional to 12,085.51, 18,108.54 and 6,154.24 is: 9,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.51 : 18,108.54 = 6,154.24 : x
  2. Step 2: Convert to fraction form
    12,085.51/18,108.54 = 6,154.24/x
  3. Step 3: Cross multiply
    12,085.51x = 18,108.54 × 6,154.24
  4. Step 4: Simplify right side
    12,085.51x = 111,444,301.21
  5. Step 5: Solve for x
    x = 111,444,301.21/12,085.51
  6. Step 6: Final answer
    x = 9,221.32

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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.