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Finding the Fourth Proportional to 13,498.02, 18,627.14 and 7,448.31

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Solution

The fourth proportional to 13,498.02, 18,627.14 and 7,448.31 is: 10,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.02 : 18,627.14 = 7,448.31 : x
  2. Step 2: Convert to fraction form
    13,498.02/18,627.14 = 7,448.31/x
  3. Step 3: Cross multiply
    13,498.02x = 18,627.14 × 7,448.31
  4. Step 4: Simplify right side
    13,498.02x = 138,740,713.13
  5. Step 5: Solve for x
    x = 138,740,713.13/13,498.02
  6. Step 6: Final answer
    x = 10,278.60

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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.