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Finding the Fourth Proportional to 35,205.12, 52,814.16 and 14,443.20

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Solution

The fourth proportional to 35,205.12, 52,814.16 and 14,443.20 is: 21,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,205.12 : 52,814.16 = 14,443.20 : x
  2. Step 2: Convert to fraction form
    35,205.12/52,814.16 = 14,443.20/x
  3. Step 3: Cross multiply
    35,205.12x = 52,814.16 × 14,443.20
  4. Step 4: Simplify right side
    35,205.12x = 762,805,475.71
  5. Step 5: Solve for x
    x = 762,805,475.71/35,205.12
  6. Step 6: Final answer
    x = 21,667.46

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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.