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Finding the Fourth Proportional to 13,146.89, 18,146.27 and 7,841.93

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Solution

The fourth proportional to 13,146.89, 18,146.27 and 7,841.93 is: 10,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.89 : 18,146.27 = 7,841.93 : x
  2. Step 2: Convert to fraction form
    13,146.89/18,146.27 = 7,841.93/x
  3. Step 3: Cross multiply
    13,146.89x = 18,146.27 × 7,841.93
  4. Step 4: Simplify right side
    13,146.89x = 142,301,707.97
  5. Step 5: Solve for x
    x = 142,301,707.97/13,146.89
  6. Step 6: Final answer
    x = 10,823.99

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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.