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Finding the Fourth Proportional to 16,357.59, 24,537.78 and 5,829.93

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Solution

The fourth proportional to 16,357.59, 24,537.78 and 5,829.93 is: 8,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.59 : 24,537.78 = 5,829.93 : x
  2. Step 2: Convert to fraction form
    16,357.59/24,537.78 = 5,829.93/x
  3. Step 3: Cross multiply
    16,357.59x = 24,537.78 × 5,829.93
  4. Step 4: Simplify right side
    16,357.59x = 143,053,539.76
  5. Step 5: Solve for x
    x = 143,053,539.76/16,357.59
  6. Step 6: Final answer
    x = 8,745.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.