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Finding the Fourth Proportional to 25,670.64, 38,469.24 and 11,595.72

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Solution

The fourth proportional to 25,670.64, 38,469.24 and 11,595.72 is: 17,376.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,670.64 : 38,469.24 = 11,595.72 : x
  2. Step 2: Convert to fraction form
    25,670.64/38,469.24 = 11,595.72/x
  3. Step 3: Cross multiply
    25,670.64x = 38,469.24 × 11,595.72
  4. Step 4: Simplify right side
    25,670.64x = 446,078,535.65
  5. Step 5: Solve for x
    x = 446,078,535.65/25,670.64
  6. Step 6: Final answer
    x = 17,376.99

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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.