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Finding the Fourth Proportional to 13,071.93, 18,035.28 and 7,405.77

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Solution

The fourth proportional to 13,071.93, 18,035.28 and 7,405.77 is: 10,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.93 : 18,035.28 = 7,405.77 : x
  2. Step 2: Convert to fraction form
    13,071.93/18,035.28 = 7,405.77/x
  3. Step 3: Cross multiply
    13,071.93x = 18,035.28 × 7,405.77
  4. Step 4: Simplify right side
    13,071.93x = 133,565,135.57
  5. Step 5: Solve for x
    x = 133,565,135.57/13,071.93
  6. Step 6: Final answer
    x = 10,217.71

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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.