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Finding the Fourth Proportional to 19,738.67, 29,582.49 and 14,769.32

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Solution

The fourth proportional to 19,738.67, 29,582.49 and 14,769.32 is: 22,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,738.67 : 29,582.49 = 14,769.32 : x
  2. Step 2: Convert to fraction form
    19,738.67/29,582.49 = 14,769.32/x
  3. Step 3: Cross multiply
    19,738.67x = 29,582.49 × 14,769.32
  4. Step 4: Simplify right side
    19,738.67x = 436,913,261.21
  5. Step 5: Solve for x
    x = 436,913,261.21/19,738.67
  6. Step 6: Final answer
    x = 22,134.89

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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.