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Finding the Fourth Proportional to 25,825.51, 38,733.16 and 7,100.72

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Solution

The fourth proportional to 25,825.51, 38,733.16 and 7,100.72 is: 10,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.51 : 38,733.16 = 7,100.72 : x
  2. Step 2: Convert to fraction form
    25,825.51/38,733.16 = 7,100.72/x
  3. Step 3: Cross multiply
    25,825.51x = 38,733.16 × 7,100.72
  4. Step 4: Simplify right side
    25,825.51x = 275,033,112.46
  5. Step 5: Solve for x
    x = 275,033,112.46/25,825.51
  6. Step 6: Final answer
    x = 10,649.67

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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.