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Finding the Fourth Proportional to 13,598.25, 20,400.30 and 4,238.07

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Solution

The fourth proportional to 13,598.25, 20,400.30 and 4,238.07 is: 6,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.25 : 20,400.30 = 4,238.07 : x
  2. Step 2: Convert to fraction form
    13,598.25/20,400.30 = 4,238.07/x
  3. Step 3: Cross multiply
    13,598.25x = 20,400.30 × 4,238.07
  4. Step 4: Simplify right side
    13,598.25x = 86,457,899.42
  5. Step 5: Solve for x
    x = 86,457,899.42/13,598.25
  6. Step 6: Final answer
    x = 6,358.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.