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Finding the Fourth Proportional to 19,820.84, 29,524.70 and 18,769

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Solution

The fourth proportional to 19,820.84, 29,524.70 and 18,769 is: 27,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.84 : 29,524.70 = 18,769 : x
  2. Step 2: Convert to fraction form
    19,820.84/29,524.70 = 18,769/x
  3. Step 3: Cross multiply
    19,820.84x = 29,524.70 × 18,769
  4. Step 4: Simplify right side
    19,820.84x = 554,149,094.30
  5. Step 5: Solve for x
    x = 554,149,094.30/19,820.84
  6. Step 6: Final answer
    x = 27,957.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.