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Finding the Fourth Proportional to 13,533.85, 18,676.84 and 7,484.01

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Solution

The fourth proportional to 13,533.85, 18,676.84 and 7,484.01 is: 10,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.85 : 18,676.84 = 7,484.01 : x
  2. Step 2: Convert to fraction form
    13,533.85/18,676.84 = 7,484.01/x
  3. Step 3: Cross multiply
    13,533.85x = 18,676.84 × 7,484.01
  4. Step 4: Simplify right side
    13,533.85x = 139,777,638.62
  5. Step 5: Solve for x
    x = 139,777,638.62/13,533.85
  6. Step 6: Final answer
    x = 10,328.00

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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.