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Finding the Fourth Proportional to 17,102.34, 23,552.10 and 14,692.86

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Solution

The fourth proportional to 17,102.34, 23,552.10 and 14,692.86 is: 20,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.34 : 23,552.10 = 14,692.86 : x
  2. Step 2: Convert to fraction form
    17,102.34/23,552.10 = 14,692.86/x
  3. Step 3: Cross multiply
    17,102.34x = 23,552.10 × 14,692.86
  4. Step 4: Simplify right side
    17,102.34x = 346,047,708.01
  5. Step 5: Solve for x
    x = 346,047,708.01/17,102.34
  6. Step 6: Final answer
    x = 20,233.94

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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.