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Finding the Fourth Proportional to 13,642.24, 20,459.40 and 4,872.40

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Solution

The fourth proportional to 13,642.24, 20,459.40 and 4,872.40 is: 7,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.24 : 20,459.40 = 4,872.40 : x
  2. Step 2: Convert to fraction form
    13,642.24/20,459.40 = 4,872.40/x
  3. Step 3: Cross multiply
    13,642.24x = 20,459.40 × 4,872.40
  4. Step 4: Simplify right side
    13,642.24x = 99,686,380.56
  5. Step 5: Solve for x
    x = 99,686,380.56/13,642.24
  6. Step 6: Final answer
    x = 7,307.19

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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.