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Finding the Fourth Proportional to 17,736.16, 24,476.06 and 9,778.68

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Solution

The fourth proportional to 17,736.16, 24,476.06 and 9,778.68 is: 13,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,736.16 : 24,476.06 = 9,778.68 : x
  2. Step 2: Convert to fraction form
    17,736.16/24,476.06 = 9,778.68/x
  3. Step 3: Cross multiply
    17,736.16x = 24,476.06 × 9,778.68
  4. Step 4: Simplify right side
    17,736.16x = 239,343,558.40
  5. Step 5: Solve for x
    x = 239,343,558.40/17,736.16
  6. Step 6: Final answer
    x = 13,494.67

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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.