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Finding the Fourth Proportional to 25,648.39, 38,477.55 and 9,852.25

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Solution

The fourth proportional to 25,648.39, 38,477.55 and 9,852.25 is: 14,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,648.39 : 38,477.55 = 9,852.25 : x
  2. Step 2: Convert to fraction form
    25,648.39/38,477.55 = 9,852.25/x
  3. Step 3: Cross multiply
    25,648.39x = 38,477.55 × 9,852.25
  4. Step 4: Simplify right side
    25,648.39x = 379,090,441.99
  5. Step 5: Solve for x
    x = 379,090,441.99/25,648.39
  6. Step 6: Final answer
    x = 14,780.28

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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.