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Finding the Fourth Proportional to 10,015.42, 15,023.14 and 4,467.42

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Solution

The fourth proportional to 10,015.42, 15,023.14 and 4,467.42 is: 6,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.42 : 15,023.14 = 4,467.42 : x
  2. Step 2: Convert to fraction form
    10,015.42/15,023.14 = 4,467.42/x
  3. Step 3: Cross multiply
    10,015.42x = 15,023.14 × 4,467.42
  4. Step 4: Simplify right side
    10,015.42x = 67,114,676.10
  5. Step 5: Solve for x
    x = 67,114,676.10/10,015.42
  6. Step 6: Final answer
    x = 6,701.13

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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.