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Finding the Fourth Proportional to 14,374.55, 19,838.43 and 8,408.22

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Solution

The fourth proportional to 14,374.55, 19,838.43 and 8,408.22 is: 11,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374.55 : 19,838.43 = 8,408.22 : x
  2. Step 2: Convert to fraction form
    14,374.55/19,838.43 = 8,408.22/x
  3. Step 3: Cross multiply
    14,374.55x = 19,838.43 × 8,408.22
  4. Step 4: Simplify right side
    14,374.55x = 166,805,883.89
  5. Step 5: Solve for x
    x = 166,805,883.89/14,374.55
  6. Step 6: Final answer
    x = 11,604.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.