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Finding the Fourth Proportional to 25,651.40, 38,477.10 and 11,827.40

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Solution

The fourth proportional to 25,651.40, 38,477.10 and 11,827.40 is: 17,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651.40 : 38,477.10 = 11,827.40 : x
  2. Step 2: Convert to fraction form
    25,651.40/38,477.10 = 11,827.40/x
  3. Step 3: Cross multiply
    25,651.40x = 38,477.10 × 11,827.40
  4. Step 4: Simplify right side
    25,651.40x = 455,084,052.54
  5. Step 5: Solve for x
    x = 455,084,052.54/25,651.40
  6. Step 6: Final answer
    x = 17,741.10

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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.