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Finding the Fourth Proportional to 19,748.51, 29,629.68 and 8,653.76

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Solution

The fourth proportional to 19,748.51, 29,629.68 and 8,653.76 is: 12,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,748.51 : 29,629.68 = 8,653.76 : x
  2. Step 2: Convert to fraction form
    19,748.51/29,629.68 = 8,653.76/x
  3. Step 3: Cross multiply
    19,748.51x = 29,629.68 × 8,653.76
  4. Step 4: Simplify right side
    19,748.51x = 256,407,991.45
  5. Step 5: Solve for x
    x = 256,407,991.45/19,748.51
  6. Step 6: Final answer
    x = 12,983.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.