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Finding the Fourth Proportional to 13,700.02, 18,906.06 and 7,412.40

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Solution

The fourth proportional to 13,700.02, 18,906.06 and 7,412.40 is: 10,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.02 : 18,906.06 = 7,412.40 : x
  2. Step 2: Convert to fraction form
    13,700.02/18,906.06 = 7,412.40/x
  3. Step 3: Cross multiply
    13,700.02x = 18,906.06 × 7,412.40
  4. Step 4: Simplify right side
    13,700.02x = 140,139,279.14
  5. Step 5: Solve for x
    x = 140,139,279.14/13,700.02
  6. Step 6: Final answer
    x = 10,229.13

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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.