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Finding the Fourth Proportional to 13,005.78, 19,509.23 and 10,829.85

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Solution

The fourth proportional to 13,005.78, 19,509.23 and 10,829.85 is: 16,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.78 : 19,509.23 = 10,829.85 : x
  2. Step 2: Convert to fraction form
    13,005.78/19,509.23 = 10,829.85/x
  3. Step 3: Cross multiply
    13,005.78x = 19,509.23 × 10,829.85
  4. Step 4: Simplify right side
    13,005.78x = 211,282,034.52
  5. Step 5: Solve for x
    x = 211,282,034.52/13,005.78
  6. Step 6: Final answer
    x = 16,245.24

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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.