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Finding the Fourth Proportional to 25,375.78, 38,074.56 and 9,804.34

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Solution

The fourth proportional to 25,375.78, 38,074.56 and 9,804.34 is: 14,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,375.78 : 38,074.56 = 9,804.34 : x
  2. Step 2: Convert to fraction form
    25,375.78/38,074.56 = 9,804.34/x
  3. Step 3: Cross multiply
    25,375.78x = 38,074.56 × 9,804.34
  4. Step 4: Simplify right side
    25,375.78x = 373,295,931.59
  5. Step 5: Solve for x
    x = 373,295,931.59/25,375.78
  6. Step 6: Final answer
    x = 14,710.72

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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.