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Finding the Fourth Proportional to 17,123.50, 23,630.94 and 9,570.16

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Solution

The fourth proportional to 17,123.50, 23,630.94 and 9,570.16 is: 13,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123.50 : 23,630.94 = 9,570.16 : x
  2. Step 2: Convert to fraction form
    17,123.50/23,630.94 = 9,570.16/x
  3. Step 3: Cross multiply
    17,123.50x = 23,630.94 × 9,570.16
  4. Step 4: Simplify right side
    17,123.50x = 226,151,876.75
  5. Step 5: Solve for x
    x = 226,151,876.75/17,123.50
  6. Step 6: Final answer
    x = 13,207.11

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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.