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Finding the Fourth Proportional to 21,341.34, 32,012 and 5,758.96

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Solution

The fourth proportional to 21,341.34, 32,012 and 5,758.96 is: 8,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,341.34 : 32,012 = 5,758.96 : x
  2. Step 2: Convert to fraction form
    21,341.34/32,012 = 5,758.96/x
  3. Step 3: Cross multiply
    21,341.34x = 32,012 × 5,758.96
  4. Step 4: Simplify right side
    21,341.34x = 184,355,827.52
  5. Step 5: Solve for x
    x = 184,355,827.52/21,341.34
  6. Step 6: Final answer
    x = 8,638.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.