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Finding the Fourth Proportional to 25,429.77, 38,147.13 and 7,894.89

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Solution

The fourth proportional to 25,429.77, 38,147.13 and 7,894.89 is: 11,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,429.77 : 38,147.13 = 7,894.89 : x
  2. Step 2: Convert to fraction form
    25,429.77/38,147.13 = 7,894.89/x
  3. Step 3: Cross multiply
    25,429.77x = 38,147.13 × 7,894.89
  4. Step 4: Simplify right side
    25,429.77x = 301,167,395.17
  5. Step 5: Solve for x
    x = 301,167,395.17/25,429.77
  6. Step 6: Final answer
    x = 11,843.10

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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.