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Finding the Fourth Proportional to 13,412.44, 18,508.62 and 7,444.36

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Solution

The fourth proportional to 13,412.44, 18,508.62 and 7,444.36 is: 10,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.44 : 18,508.62 = 7,444.36 : x
  2. Step 2: Convert to fraction form
    13,412.44/18,508.62 = 7,444.36/x
  3. Step 3: Cross multiply
    13,412.44x = 18,508.62 × 7,444.36
  4. Step 4: Simplify right side
    13,412.44x = 137,784,830.38
  5. Step 5: Solve for x
    x = 137,784,830.38/13,412.44
  6. Step 6: Final answer
    x = 10,272.91

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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.