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Finding the Fourth Proportional to 17,054.34, 25,588.96 and 5,969

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Solution

The fourth proportional to 17,054.34, 25,588.96 and 5,969 is: 8,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,054.34 : 25,588.96 = 5,969 : x
  2. Step 2: Convert to fraction form
    17,054.34/25,588.96 = 5,969/x
  3. Step 3: Cross multiply
    17,054.34x = 25,588.96 × 5,969
  4. Step 4: Simplify right side
    17,054.34x = 152,740,502.24
  5. Step 5: Solve for x
    x = 152,740,502.24/17,054.34
  6. Step 6: Final answer
    x = 8,956.11

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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.