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Finding the Fourth Proportional to 15,365.97, 23,014.94 and 9,509.67

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Solution

The fourth proportional to 15,365.97, 23,014.94 and 9,509.67 is: 14,243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,365.97 : 23,014.94 = 9,509.67 : x
  2. Step 2: Convert to fraction form
    15,365.97/23,014.94 = 9,509.67/x
  3. Step 3: Cross multiply
    15,365.97x = 23,014.94 × 9,509.67
  4. Step 4: Simplify right side
    15,365.97x = 218,864,436.92
  5. Step 5: Solve for x
    x = 218,864,436.92/15,365.97
  6. Step 6: Final answer
    x = 14,243.45

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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.