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Finding the Fourth Proportional to 16,032.63, 22,118.76 and 9,317.07

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Solution

The fourth proportional to 16,032.63, 22,118.76 and 9,317.07 is: 12,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.63 : 22,118.76 = 9,317.07 : x
  2. Step 2: Convert to fraction form
    16,032.63/22,118.76 = 9,317.07/x
  3. Step 3: Cross multiply
    16,032.63x = 22,118.76 × 9,317.07
  4. Step 4: Simplify right side
    16,032.63x = 206,082,035.23
  5. Step 5: Solve for x
    x = 206,082,035.23/16,032.63
  6. Step 6: Final answer
    x = 12,853.91

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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.