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Finding the Fourth Proportional to 13,508.98, 20,258 and 5,189.28

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Solution

The fourth proportional to 13,508.98, 20,258 and 5,189.28 is: 7,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.98 : 20,258 = 5,189.28 : x
  2. Step 2: Convert to fraction form
    13,508.98/20,258 = 5,189.28/x
  3. Step 3: Cross multiply
    13,508.98x = 20,258 × 5,189.28
  4. Step 4: Simplify right side
    13,508.98x = 105,124,434.24
  5. Step 5: Solve for x
    x = 105,124,434.24/13,508.98
  6. Step 6: Final answer
    x = 7,781.82

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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.