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Finding the Fourth Proportional to 12,077.06, 18,117.68 and 4,071.06

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Solution

The fourth proportional to 12,077.06, 18,117.68 and 4,071.06 is: 6,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.06 : 18,117.68 = 4,071.06 : x
  2. Step 2: Convert to fraction form
    12,077.06/18,117.68 = 4,071.06/x
  3. Step 3: Cross multiply
    12,077.06x = 18,117.68 × 4,071.06
  4. Step 4: Simplify right side
    12,077.06x = 73,758,162.34
  5. Step 5: Solve for x
    x = 73,758,162.34/12,077.06
  6. Step 6: Final answer
    x = 6,107.29

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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.