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Finding the Fourth Proportional to 16,386.25, 24,573.12 and 5,854.31

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Solution

The fourth proportional to 16,386.25, 24,573.12 and 5,854.31 is: 8,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.25 : 24,573.12 = 5,854.31 : x
  2. Step 2: Convert to fraction form
    16,386.25/24,573.12 = 5,854.31/x
  3. Step 3: Cross multiply
    16,386.25x = 24,573.12 × 5,854.31
  4. Step 4: Simplify right side
    16,386.25x = 143,858,662.15
  5. Step 5: Solve for x
    x = 143,858,662.15/16,386.25
  6. Step 6: Final answer
    x = 8,779.23

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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.