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Finding the Fourth Proportional to 25,602.36, 38,377.19 and 9,803.67

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Solution

The fourth proportional to 25,602.36, 38,377.19 and 9,803.67 is: 14,695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602.36 : 38,377.19 = 9,803.67 : x
  2. Step 2: Convert to fraction form
    25,602.36/38,377.19 = 9,803.67/x
  3. Step 3: Cross multiply
    25,602.36x = 38,377.19 × 9,803.67
  4. Step 4: Simplify right side
    25,602.36x = 376,237,257.27
  5. Step 5: Solve for x
    x = 376,237,257.27/25,602.36
  6. Step 6: Final answer
    x = 14,695.41

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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.