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Finding the Fourth Proportional to 25,628.88, 38,444.48 and 7,858.25

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Solution

The fourth proportional to 25,628.88, 38,444.48 and 7,858.25 is: 11,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,628.88 : 38,444.48 = 7,858.25 : x
  2. Step 2: Convert to fraction form
    25,628.88/38,444.48 = 7,858.25/x
  3. Step 3: Cross multiply
    25,628.88x = 38,444.48 × 7,858.25
  4. Step 4: Simplify right side
    25,628.88x = 302,106,185.83
  5. Step 5: Solve for x
    x = 302,106,185.83/25,628.88
  6. Step 6: Final answer
    x = 11,787.72

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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.