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Finding the Fourth Proportional to 14,592.88, 20,138.05 and 8,305.60

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Solution

The fourth proportional to 14,592.88, 20,138.05 and 8,305.60 is: 11,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,592.88 : 20,138.05 = 8,305.60 : x
  2. Step 2: Convert to fraction form
    14,592.88/20,138.05 = 8,305.60/x
  3. Step 3: Cross multiply
    14,592.88x = 20,138.05 × 8,305.60
  4. Step 4: Simplify right side
    14,592.88x = 167,258,588.08
  5. Step 5: Solve for x
    x = 167,258,588.08/14,592.88
  6. Step 6: Final answer
    x = 11,461.66

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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.