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Finding the Fourth Proportional to 19,652.83, 29,478.33 and 6,505.31

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Solution

The fourth proportional to 19,652.83, 29,478.33 and 6,505.31 is: 9,757.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652.83 : 29,478.33 = 6,505.31 : x
  2. Step 2: Convert to fraction form
    19,652.83/29,478.33 = 6,505.31/x
  3. Step 3: Cross multiply
    19,652.83x = 29,478.33 × 6,505.31
  4. Step 4: Simplify right side
    19,652.83x = 191,765,748.63
  5. Step 5: Solve for x
    x = 191,765,748.63/19,652.83
  6. Step 6: Final answer
    x = 9,757.67

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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.