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Finding the Fourth Proportional to 13,412.62, 18,509.16 and 7,444.36

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Solution

The fourth proportional to 13,412.62, 18,509.16 and 7,444.36 is: 10,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.62 : 18,509.16 = 7,444.36 : x
  2. Step 2: Convert to fraction form
    13,412.62/18,509.16 = 7,444.36/x
  3. Step 3: Cross multiply
    13,412.62x = 18,509.16 × 7,444.36
  4. Step 4: Simplify right side
    13,412.62x = 137,788,850.34
  5. Step 5: Solve for x
    x = 137,788,850.34/13,412.62
  6. Step 6: Final answer
    x = 10,273.07

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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.