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Finding the Fourth Proportional to 13,204.69, 18,222.47 and 7,615.69

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Solution

The fourth proportional to 13,204.69, 18,222.47 and 7,615.69 is: 10,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.69 : 18,222.47 = 7,615.69 : x
  2. Step 2: Convert to fraction form
    13,204.69/18,222.47 = 7,615.69/x
  3. Step 3: Cross multiply
    13,204.69x = 18,222.47 × 7,615.69
  4. Step 4: Simplify right side
    13,204.69x = 138,776,627.48
  5. Step 5: Solve for x
    x = 138,776,627.48/13,204.69
  6. Step 6: Final answer
    x = 10,509.65

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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.