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Finding the Fourth Proportional to 16,509.60, 22,782.96 and 9,435.84

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Solution

The fourth proportional to 16,509.60, 22,782.96 and 9,435.84 is: 13,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.60 : 22,782.96 = 9,435.84 : x
  2. Step 2: Convert to fraction form
    16,509.60/22,782.96 = 9,435.84/x
  3. Step 3: Cross multiply
    16,509.60x = 22,782.96 × 9,435.84
  4. Step 4: Simplify right side
    16,509.60x = 214,976,365.29
  5. Step 5: Solve for x
    x = 214,976,365.29/16,509.60
  6. Step 6: Final answer
    x = 13,021.29

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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.