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Finding the Fourth Proportional to 13,005.51, 19,509.11 and 4,121.18

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Solution

The fourth proportional to 13,005.51, 19,509.11 and 4,121.18 is: 6,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.51 : 19,509.11 = 4,121.18 : x
  2. Step 2: Convert to fraction form
    13,005.51/19,509.11 = 4,121.18/x
  3. Step 3: Cross multiply
    13,005.51x = 19,509.11 × 4,121.18
  4. Step 4: Simplify right side
    13,005.51x = 80,400,435.80
  5. Step 5: Solve for x
    x = 80,400,435.80/13,005.51
  6. Step 6: Final answer
    x = 6,182.03

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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.