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Finding the Fourth Proportional to 25,386.74, 38,083.76 and 7,857.94

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Solution

The fourth proportional to 25,386.74, 38,083.76 and 7,857.94 is: 11,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,386.74 : 38,083.76 = 7,857.94 : x
  2. Step 2: Convert to fraction form
    25,386.74/38,083.76 = 7,857.94/x
  3. Step 3: Cross multiply
    25,386.74x = 38,083.76 × 7,857.94
  4. Step 4: Simplify right side
    25,386.74x = 299,259,796.02
  5. Step 5: Solve for x
    x = 299,259,796.02/25,386.74
  6. Step 6: Final answer
    x = 11,788.03

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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.