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Finding the Fourth Proportional to 23,130, 31,919.40 and 13,194

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Solution

The fourth proportional to 23,130, 31,919.40 and 13,194 is: 18,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,130 : 31,919.40 = 13,194 : x
  2. Step 2: Convert to fraction form
    23,130/31,919.40 = 13,194/x
  3. Step 3: Cross multiply
    23,130x = 31,919.40 × 13,194
  4. Step 4: Simplify right side
    23,130x = 421,144,563.60
  5. Step 5: Solve for x
    x = 421,144,563.60/23,130
  6. Step 6: Final answer
    x = 18,207.72

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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.