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Finding the Fourth Proportional to 13,114.51, 18,097.79 and 7,146.23

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Solution

The fourth proportional to 13,114.51, 18,097.79 and 7,146.23 is: 9,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.51 : 18,097.79 = 7,146.23 : x
  2. Step 2: Convert to fraction form
    13,114.51/18,097.79 = 7,146.23/x
  3. Step 3: Cross multiply
    13,114.51x = 18,097.79 × 7,146.23
  4. Step 4: Simplify right side
    13,114.51x = 129,330,843.61
  5. Step 5: Solve for x
    x = 129,330,843.61/13,114.51
  6. Step 6: Final answer
    x = 9,861.66

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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.