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Finding the Fourth Proportional to 13,374.08, 20,031.96 and 6,434

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Solution

The fourth proportional to 13,374.08, 20,031.96 and 6,434 is: 9,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.08 : 20,031.96 = 6,434 : x
  2. Step 2: Convert to fraction form
    13,374.08/20,031.96 = 6,434/x
  3. Step 3: Cross multiply
    13,374.08x = 20,031.96 × 6,434
  4. Step 4: Simplify right side
    13,374.08x = 128,885,630.64
  5. Step 5: Solve for x
    x = 128,885,630.64/13,374.08
  6. Step 6: Final answer
    x = 9,636.97

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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.