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Finding the Fourth Proportional to 13,143.02, 18,135.77 and 7,478.48

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Solution

The fourth proportional to 13,143.02, 18,135.77 and 7,478.48 is: 10,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.02 : 18,135.77 = 7,478.48 : x
  2. Step 2: Convert to fraction form
    13,143.02/18,135.77 = 7,478.48/x
  3. Step 3: Cross multiply
    13,143.02x = 18,135.77 × 7,478.48
  4. Step 4: Simplify right side
    13,143.02x = 135,628,001.18
  5. Step 5: Solve for x
    x = 135,628,001.18/13,143.02
  6. Step 6: Final answer
    x = 10,319.40

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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.