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Finding the Fourth Proportional to 14,424.16, 19,905.36 and 8,137.12

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Solution

The fourth proportional to 14,424.16, 19,905.36 and 8,137.12 is: 11,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.16 : 19,905.36 = 8,137.12 : x
  2. Step 2: Convert to fraction form
    14,424.16/19,905.36 = 8,137.12/x
  3. Step 3: Cross multiply
    14,424.16x = 19,905.36 × 8,137.12
  4. Step 4: Simplify right side
    14,424.16x = 161,972,302.96
  5. Step 5: Solve for x
    x = 161,972,302.96/14,424.16
  6. Step 6: Final answer
    x = 11,229.24

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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.