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Finding the Fourth Proportional to 16,284.30, 22,475.97 and 9,572.07

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Solution

The fourth proportional to 16,284.30, 22,475.97 and 9,572.07 is: 13,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.30 : 22,475.97 = 9,572.07 : x
  2. Step 2: Convert to fraction form
    16,284.30/22,475.97 = 9,572.07/x
  3. Step 3: Cross multiply
    16,284.30x = 22,475.97 × 9,572.07
  4. Step 4: Simplify right side
    16,284.30x = 215,141,558.16
  5. Step 5: Solve for x
    x = 215,141,558.16/16,284.30
  6. Step 6: Final answer
    x = 13,211.59

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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.