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Finding the Fourth Proportional to 13,138.64, 19,708.60 and 4,930

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Solution

The fourth proportional to 13,138.64, 19,708.60 and 4,930 is: 7,395.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.64 : 19,708.60 = 4,930 : x
  2. Step 2: Convert to fraction form
    13,138.64/19,708.60 = 4,930/x
  3. Step 3: Cross multiply
    13,138.64x = 19,708.60 × 4,930
  4. Step 4: Simplify right side
    13,138.64x = 97,163,398
  5. Step 5: Solve for x
    x = 97,163,398/13,138.64
  6. Step 6: Final answer
    x = 7,395.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.