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Finding the Fourth Proportional to 25,762.86, 38,631 and 15,236.10

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Solution

The fourth proportional to 25,762.86, 38,631 and 15,236.10 is: 22,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762.86 : 38,631 = 15,236.10 : x
  2. Step 2: Convert to fraction form
    25,762.86/38,631 = 15,236.10/x
  3. Step 3: Cross multiply
    25,762.86x = 38,631 × 15,236.10
  4. Step 4: Simplify right side
    25,762.86x = 588,585,779.10
  5. Step 5: Solve for x
    x = 588,585,779.10/25,762.86
  6. Step 6: Final answer
    x = 22,846.29

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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.