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Finding the Fourth Proportional to 25,851.80, 38,777.70 and 7,383.80

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Solution

The fourth proportional to 25,851.80, 38,777.70 and 7,383.80 is: 11,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,851.80 : 38,777.70 = 7,383.80 : x
  2. Step 2: Convert to fraction form
    25,851.80/38,777.70 = 7,383.80/x
  3. Step 3: Cross multiply
    25,851.80x = 38,777.70 × 7,383.80
  4. Step 4: Simplify right side
    25,851.80x = 286,326,905.89
  5. Step 5: Solve for x
    x = 286,326,905.89/25,851.80
  6. Step 6: Final answer
    x = 11,075.70

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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.