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Finding the Fourth Proportional to 25,357.96, 38,038.76 and 7,825.51

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Solution

The fourth proportional to 25,357.96, 38,038.76 and 7,825.51 is: 11,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,357.96 : 38,038.76 = 7,825.51 : x
  2. Step 2: Convert to fraction form
    25,357.96/38,038.76 = 7,825.51/x
  3. Step 3: Cross multiply
    25,357.96x = 38,038.76 × 7,825.51
  4. Step 4: Simplify right side
    25,357.96x = 297,672,467.45
  5. Step 5: Solve for x
    x = 297,672,467.45/25,357.96
  6. Step 6: Final answer
    x = 11,738.82

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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.