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Finding the Fourth Proportional to 14,034.12, 21,043.44 and 5,712

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Solution

The fourth proportional to 14,034.12, 21,043.44 and 5,712 is: 8,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.12 : 21,043.44 = 5,712 : x
  2. Step 2: Convert to fraction form
    14,034.12/21,043.44 = 5,712/x
  3. Step 3: Cross multiply
    14,034.12x = 21,043.44 × 5,712
  4. Step 4: Simplify right side
    14,034.12x = 120,200,129.28
  5. Step 5: Solve for x
    x = 120,200,129.28/14,034.12
  6. Step 6: Final answer
    x = 8,564.85

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Why These Related Problems?

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