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Finding the Fourth Proportional to 15,854.40, 21,879.36 and 9,565.44

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Solution

The fourth proportional to 15,854.40, 21,879.36 and 9,565.44 is: 13,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.40 : 21,879.36 = 9,565.44 : x
  2. Step 2: Convert to fraction form
    15,854.40/21,879.36 = 9,565.44/x
  3. Step 3: Cross multiply
    15,854.40x = 21,879.36 × 9,565.44
  4. Step 4: Simplify right side
    15,854.40x = 209,285,705.32
  5. Step 5: Solve for x
    x = 209,285,705.32/15,854.40
  6. Step 6: Final answer
    x = 13,200.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.