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Finding the Fourth Proportional to 13,125.80, 18,114.06 and 7,460.78

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Solution

The fourth proportional to 13,125.80, 18,114.06 and 7,460.78 is: 10,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.80 : 18,114.06 = 7,460.78 : x
  2. Step 2: Convert to fraction form
    13,125.80/18,114.06 = 7,460.78/x
  3. Step 3: Cross multiply
    13,125.80x = 18,114.06 × 7,460.78
  4. Step 4: Simplify right side
    13,125.80x = 135,145,043.86
  5. Step 5: Solve for x
    x = 135,145,043.86/13,125.80
  6. Step 6: Final answer
    x = 10,296.14

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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.