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Finding the Fourth Proportional to 35,343.14, 53,008.22 and 14,277.67

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Solution

The fourth proportional to 35,343.14, 53,008.22 and 14,277.67 is: 21,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,343.14 : 53,008.22 = 14,277.67 : x
  2. Step 2: Convert to fraction form
    35,343.14/53,008.22 = 14,277.67/x
  3. Step 3: Cross multiply
    35,343.14x = 53,008.22 × 14,277.67
  4. Step 4: Simplify right side
    35,343.14x = 756,833,775.62
  5. Step 5: Solve for x
    x = 756,833,775.62/35,343.14
  6. Step 6: Final answer
    x = 21,413.88

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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.