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Finding the Fourth Proportional to 17,141.25, 23,657.12 and 9,588.00

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Solution

The fourth proportional to 17,141.25, 23,657.12 and 9,588.00 is: 13,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,141.25 : 23,657.12 = 9,588.00 : x
  2. Step 2: Convert to fraction form
    17,141.25/23,657.12 = 9,588.00/x
  3. Step 3: Cross multiply
    17,141.25x = 23,657.12 × 9,588.00
  4. Step 4: Simplify right side
    17,141.25x = 226,824,543.29
  5. Step 5: Solve for x
    x = 226,824,543.29/17,141.25
  6. Step 6: Final answer
    x = 13,232.67

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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.