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Finding the Fourth Proportional to 13,130.10, 18,120.06 and 7,824.24

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Solution

The fourth proportional to 13,130.10, 18,120.06 and 7,824.24 is: 10,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.10 : 18,120.06 = 7,824.24 : x
  2. Step 2: Convert to fraction form
    13,130.10/18,120.06 = 7,824.24/x
  3. Step 3: Cross multiply
    13,130.10x = 18,120.06 × 7,824.24
  4. Step 4: Simplify right side
    13,130.10x = 141,775,698.25
  5. Step 5: Solve for x
    x = 141,775,698.25/13,130.10
  6. Step 6: Final answer
    x = 10,797.76

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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.