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Finding the Fourth Proportional to 14,567.70, 21,847.02 and 5,206.42

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Solution

The fourth proportional to 14,567.70, 21,847.02 and 5,206.42 is: 7,808.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.70 : 21,847.02 = 5,206.42 : x
  2. Step 2: Convert to fraction form
    14,567.70/21,847.02 = 5,206.42/x
  3. Step 3: Cross multiply
    14,567.70x = 21,847.02 × 5,206.42
  4. Step 4: Simplify right side
    14,567.70x = 113,744,761.87
  5. Step 5: Solve for x
    x = 113,744,761.87/14,567.70
  6. Step 6: Final answer
    x = 7,808.01

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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.