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Finding the Fourth Proportional to 25,575.16, 38,311.71 and 20,319.07

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Solution

The fourth proportional to 25,575.16, 38,311.71 and 20,319.07 is: 30,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,575.16 : 38,311.71 = 20,319.07 : x
  2. Step 2: Convert to fraction form
    25,575.16/38,311.71 = 20,319.07/x
  3. Step 3: Cross multiply
    25,575.16x = 38,311.71 × 20,319.07
  4. Step 4: Simplify right side
    25,575.16x = 778,458,317.31
  5. Step 5: Solve for x
    x = 778,458,317.31/25,575.16
  6. Step 6: Final answer
    x = 30,438.06

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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.