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Finding the Fourth Proportional to 24,774.60, 34,189.20 and 14,164.08

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Solution

The fourth proportional to 24,774.60, 34,189.20 and 14,164.08 is: 19,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774.60 : 34,189.20 = 14,164.08 : x
  2. Step 2: Convert to fraction form
    24,774.60/34,189.20 = 14,164.08/x
  3. Step 3: Cross multiply
    24,774.60x = 34,189.20 × 14,164.08
  4. Step 4: Simplify right side
    24,774.60x = 484,258,563.94
  5. Step 5: Solve for x
    x = 484,258,563.94/24,774.60
  6. Step 6: Final answer
    x = 19,546.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.