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Finding the Fourth Proportional to 13,698.08, 18,903.38 and 7,410.46

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Solution

The fourth proportional to 13,698.08, 18,903.38 and 7,410.46 is: 10,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.08 : 18,903.38 = 7,410.46 : x
  2. Step 2: Convert to fraction form
    13,698.08/18,903.38 = 7,410.46/x
  3. Step 3: Cross multiply
    13,698.08x = 18,903.38 × 7,410.46
  4. Step 4: Simplify right side
    13,698.08x = 140,082,741.35
  5. Step 5: Solve for x
    x = 140,082,741.35/13,698.08
  6. Step 6: Final answer
    x = 10,226.45

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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.