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Finding the Fourth Proportional to 13,676.76, 18,855.65 and 10,259.24

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Solution

The fourth proportional to 13,676.76, 18,855.65 and 10,259.24 is: 14,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.76 : 18,855.65 = 10,259.24 : x
  2. Step 2: Convert to fraction form
    13,676.76/18,855.65 = 10,259.24/x
  3. Step 3: Cross multiply
    13,676.76x = 18,855.65 × 10,259.24
  4. Step 4: Simplify right side
    13,676.76x = 193,444,587.41
  5. Step 5: Solve for x
    x = 193,444,587.41/13,676.76
  6. Step 6: Final answer
    x = 14,144.04

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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.