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Finding the Fourth Proportional to 25,464.21, 38,209.45 and 11,434

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Solution

The fourth proportional to 25,464.21, 38,209.45 and 11,434 is: 17,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,464.21 : 38,209.45 = 11,434 : x
  2. Step 2: Convert to fraction form
    25,464.21/38,209.45 = 11,434/x
  3. Step 3: Cross multiply
    25,464.21x = 38,209.45 × 11,434
  4. Step 4: Simplify right side
    25,464.21x = 436,886,851.30
  5. Step 5: Solve for x
    x = 436,886,851.30/25,464.21
  6. Step 6: Final answer
    x = 17,156.90

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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.