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Finding the Fourth Proportional to 17,705.36, 26,485.08 and 14,549.84

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Solution

The fourth proportional to 17,705.36, 26,485.08 and 14,549.84 is: 21,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.36 : 26,485.08 = 14,549.84 : x
  2. Step 2: Convert to fraction form
    17,705.36/26,485.08 = 14,549.84/x
  3. Step 3: Cross multiply
    17,705.36x = 26,485.08 × 14,549.84
  4. Step 4: Simplify right side
    17,705.36x = 385,353,676.39
  5. Step 5: Solve for x
    x = 385,353,676.39/17,705.36
  6. Step 6: Final answer
    x = 21,764.80

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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.