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Finding the Fourth Proportional to 16,364.92, 22,585.14 and 9,652.72

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Solution

The fourth proportional to 16,364.92, 22,585.14 and 9,652.72 is: 13,321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.92 : 22,585.14 = 9,652.72 : x
  2. Step 2: Convert to fraction form
    16,364.92/22,585.14 = 9,652.72/x
  3. Step 3: Cross multiply
    16,364.92x = 22,585.14 × 9,652.72
  4. Step 4: Simplify right side
    16,364.92x = 218,008,032.58
  5. Step 5: Solve for x
    x = 218,008,032.58/16,364.92
  6. Step 6: Final answer
    x = 13,321.67

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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.