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Finding the Fourth Proportional to 13,258.16, 18,296.31 and 7,593

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Solution

The fourth proportional to 13,258.16, 18,296.31 and 7,593 is: 10,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.16 : 18,296.31 = 7,593 : x
  2. Step 2: Convert to fraction form
    13,258.16/18,296.31 = 7,593/x
  3. Step 3: Cross multiply
    13,258.16x = 18,296.31 × 7,593
  4. Step 4: Simplify right side
    13,258.16x = 138,923,881.83
  5. Step 5: Solve for x
    x = 138,923,881.83/13,258.16
  6. Step 6: Final answer
    x = 10,478.37

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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.