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Finding the Fourth Proportional to 21,477, 32,215.50 and 5,894.63

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Solution

The fourth proportional to 21,477, 32,215.50 and 5,894.63 is: 8,841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477 : 32,215.50 = 5,894.63 : x
  2. Step 2: Convert to fraction form
    21,477/32,215.50 = 5,894.63/x
  3. Step 3: Cross multiply
    21,477x = 32,215.50 × 5,894.63
  4. Step 4: Simplify right side
    21,477x = 189,898,291.69
  5. Step 5: Solve for x
    x = 189,898,291.69/21,477
  6. Step 6: Final answer
    x = 8,841.94

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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.