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Finding the Fourth Proportional to 14,815.42, 20,438.30 and 10,567.42

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Solution

The fourth proportional to 14,815.42, 20,438.30 and 10,567.42 is: 14,578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,815.42 : 20,438.30 = 10,567.42 : x
  2. Step 2: Convert to fraction form
    14,815.42/20,438.30 = 10,567.42/x
  3. Step 3: Cross multiply
    14,815.42x = 20,438.30 × 10,567.42
  4. Step 4: Simplify right side
    14,815.42x = 215,980,100.19
  5. Step 5: Solve for x
    x = 215,980,100.19/14,815.42
  6. Step 6: Final answer
    x = 14,578.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.