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Finding the Fourth Proportional to 14,763.84, 20,374.14 and 8,049.48

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Solution

The fourth proportional to 14,763.84, 20,374.14 and 8,049.48 is: 11,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,763.84 : 20,374.14 = 8,049.48 : x
  2. Step 2: Convert to fraction form
    14,763.84/20,374.14 = 8,049.48/x
  3. Step 3: Cross multiply
    14,763.84x = 20,374.14 × 8,049.48
  4. Step 4: Simplify right side
    14,763.84x = 164,001,232.45
  5. Step 5: Solve for x
    x = 164,001,232.45/14,763.84
  6. Step 6: Final answer
    x = 11,108.30

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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.