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Finding the Fourth Proportional to 16,585.63, 22,888.73 and 9,032.26

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Solution

The fourth proportional to 16,585.63, 22,888.73 and 9,032.26 is: 12,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.63 : 22,888.73 = 9,032.26 : x
  2. Step 2: Convert to fraction form
    16,585.63/22,888.73 = 9,032.26/x
  3. Step 3: Cross multiply
    16,585.63x = 22,888.73 × 9,032.26
  4. Step 4: Simplify right side
    16,585.63x = 206,736,960.43
  5. Step 5: Solve for x
    x = 206,736,960.43/16,585.63
  6. Step 6: Final answer
    x = 12,464.82

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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.