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Finding the Fourth Proportional to 25,866.35, 38,779.85 and 13,378.41

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Solution

The fourth proportional to 25,866.35, 38,779.85 and 13,378.41 is: 20,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866.35 : 38,779.85 = 13,378.41 : x
  2. Step 2: Convert to fraction form
    25,866.35/38,779.85 = 13,378.41/x
  3. Step 3: Cross multiply
    25,866.35x = 38,779.85 × 13,378.41
  4. Step 4: Simplify right side
    25,866.35x = 518,812,666.15
  5. Step 5: Solve for x
    x = 518,812,666.15/25,866.35
  6. Step 6: Final answer
    x = 20,057.44

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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.