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Finding the Fourth Proportional to 25,621.50, 38,437.93 and 7,854.62

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Solution

The fourth proportional to 25,621.50, 38,437.93 and 7,854.62 is: 11,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,621.50 : 38,437.93 = 7,854.62 : x
  2. Step 2: Convert to fraction form
    25,621.50/38,437.93 = 7,854.62/x
  3. Step 3: Cross multiply
    25,621.50x = 38,437.93 × 7,854.62
  4. Step 4: Simplify right side
    25,621.50x = 301,915,333.74
  5. Step 5: Solve for x
    x = 301,915,333.74/25,621.50
  6. Step 6: Final answer
    x = 11,783.67

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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.