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Finding the Fourth Proportional to 16,155.83, 24,223.82 and 6,283.60

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Solution

The fourth proportional to 16,155.83, 24,223.82 and 6,283.60 is: 9,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,155.83 : 24,223.82 = 6,283.60 : x
  2. Step 2: Convert to fraction form
    16,155.83/24,223.82 = 6,283.60/x
  3. Step 3: Cross multiply
    16,155.83x = 24,223.82 × 6,283.60
  4. Step 4: Simplify right side
    16,155.83x = 152,212,703.37
  5. Step 5: Solve for x
    x = 152,212,703.37/16,155.83
  6. Step 6: Final answer
    x = 9,421.54

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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.