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Finding the Fourth Proportional to 19,774.10, 29,670.89 and 9,244.84

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Solution

The fourth proportional to 19,774.10, 29,670.89 and 9,244.84 is: 13,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.10 : 29,670.89 = 9,244.84 : x
  2. Step 2: Convert to fraction form
    19,774.10/29,670.89 = 9,244.84/x
  3. Step 3: Cross multiply
    19,774.10x = 29,670.89 × 9,244.84
  4. Step 4: Simplify right side
    19,774.10x = 274,302,621.57
  5. Step 5: Solve for x
    x = 274,302,621.57/19,774.10
  6. Step 6: Final answer
    x = 13,871.81

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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.