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Finding the Fourth Proportional to 13,258.34, 18,296.57 and 7,208.64

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Solution

The fourth proportional to 13,258.34, 18,296.57 and 7,208.64 is: 9,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.34 : 18,296.57 = 7,208.64 : x
  2. Step 2: Convert to fraction form
    13,258.34/18,296.57 = 7,208.64/x
  3. Step 3: Cross multiply
    13,258.34x = 18,296.57 × 7,208.64
  4. Step 4: Simplify right side
    13,258.34x = 131,893,473.00
  5. Step 5: Solve for x
    x = 131,893,473.00/13,258.34
  6. Step 6: Final answer
    x = 9,947.96

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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.