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Finding the Fourth Proportional to 30,567.34, 45,846.96 and 13,909.42

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Solution

The fourth proportional to 30,567.34, 45,846.96 and 13,909.42 is: 20,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.34 : 45,846.96 = 13,909.42 : x
  2. Step 2: Convert to fraction form
    30,567.34/45,846.96 = 13,909.42/x
  3. Step 3: Cross multiply
    30,567.34x = 45,846.96 × 13,909.42
  4. Step 4: Simplify right side
    30,567.34x = 637,704,622.36
  5. Step 5: Solve for x
    x = 637,704,622.36/30,567.34
  6. Step 6: Final answer
    x = 20,862.29

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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.