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Finding the Fourth Proportional to 13,113.06, 18,095.76 and 8,077.14

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Solution

The fourth proportional to 13,113.06, 18,095.76 and 8,077.14 is: 11,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.06 : 18,095.76 = 8,077.14 : x
  2. Step 2: Convert to fraction form
    13,113.06/18,095.76 = 8,077.14/x
  3. Step 3: Cross multiply
    13,113.06x = 18,095.76 × 8,077.14
  4. Step 4: Simplify right side
    13,113.06x = 146,161,986.93
  5. Step 5: Solve for x
    x = 146,161,986.93/13,113.06
  6. Step 6: Final answer
    x = 11,146.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.