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Finding the Fourth Proportional to 23,165.19, 31,967.99 and 12,554.82

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Solution

The fourth proportional to 23,165.19, 31,967.99 and 12,554.82 is: 17,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,165.19 : 31,967.99 = 12,554.82 : x
  2. Step 2: Convert to fraction form
    23,165.19/31,967.99 = 12,554.82/x
  3. Step 3: Cross multiply
    23,165.19x = 31,967.99 × 12,554.82
  4. Step 4: Simplify right side
    23,165.19x = 401,352,360.21
  5. Step 5: Solve for x
    x = 401,352,360.21/23,165.19
  6. Step 6: Final answer
    x = 17,325.67

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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.