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Finding the Fourth Proportional to 25,389.52, 38,086.06 and 7,857.04

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Solution

The fourth proportional to 25,389.52, 38,086.06 and 7,857.04 is: 11,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,389.52 : 38,086.06 = 7,857.04 : x
  2. Step 2: Convert to fraction form
    25,389.52/38,086.06 = 7,857.04/x
  3. Step 3: Cross multiply
    25,389.52x = 38,086.06 × 7,857.04
  4. Step 4: Simplify right side
    25,389.52x = 299,243,696.86
  5. Step 5: Solve for x
    x = 299,243,696.86/25,389.52
  6. Step 6: Final answer
    x = 11,786.11

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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.