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Finding the Fourth Proportional to 17,922.16, 24,732.88 and 9,856.16

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Solution

The fourth proportional to 17,922.16, 24,732.88 and 9,856.16 is: 13,601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.16 : 24,732.88 = 9,856.16 : x
  2. Step 2: Convert to fraction form
    17,922.16/24,732.88 = 9,856.16/x
  3. Step 3: Cross multiply
    17,922.16x = 24,732.88 × 9,856.16
  4. Step 4: Simplify right side
    17,922.16x = 243,771,222.54
  5. Step 5: Solve for x
    x = 243,771,222.54/17,922.16
  6. Step 6: Final answer
    x = 13,601.67

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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.