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Finding the Fourth Proportional to 13,253.32, 18,289.09 and 7,284.63

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Solution

The fourth proportional to 13,253.32, 18,289.09 and 7,284.63 is: 10,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.32 : 18,289.09 = 7,284.63 : x
  2. Step 2: Convert to fraction form
    13,253.32/18,289.09 = 7,284.63/x
  3. Step 3: Cross multiply
    13,253.32x = 18,289.09 × 7,284.63
  4. Step 4: Simplify right side
    13,253.32x = 133,229,331.38
  5. Step 5: Solve for x
    x = 133,229,331.38/13,253.32
  6. Step 6: Final answer
    x = 10,052.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.