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Finding the Fourth Proportional to 17,278.32, 23,812.84 and 13,000.34

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Solution

The fourth proportional to 17,278.32, 23,812.84 and 13,000.34 is: 17,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,278.32 : 23,812.84 = 13,000.34 : x
  2. Step 2: Convert to fraction form
    17,278.32/23,812.84 = 13,000.34/x
  3. Step 3: Cross multiply
    17,278.32x = 23,812.84 × 13,000.34
  4. Step 4: Simplify right side
    17,278.32x = 309,575,016.37
  5. Step 5: Solve for x
    x = 309,575,016.37/17,278.32
  6. Step 6: Final answer
    x = 17,916.96

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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.