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Finding the Fourth Proportional to 13,183.64, 19,775.54 and 5,392.45

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Solution

The fourth proportional to 13,183.64, 19,775.54 and 5,392.45 is: 8,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.64 : 19,775.54 = 5,392.45 : x
  2. Step 2: Convert to fraction form
    13,183.64/19,775.54 = 5,392.45/x
  3. Step 3: Cross multiply
    13,183.64x = 19,775.54 × 5,392.45
  4. Step 4: Simplify right side
    13,183.64x = 106,638,534.27
  5. Step 5: Solve for x
    x = 106,638,534.27/13,183.64
  6. Step 6: Final answer
    x = 8,088.70

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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.