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Finding the Fourth Proportional to 25,736.24, 38,610.04 and 14,648.16

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Solution

The fourth proportional to 25,736.24, 38,610.04 and 14,648.16 is: 21,975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,736.24 : 38,610.04 = 14,648.16 : x
  2. Step 2: Convert to fraction form
    25,736.24/38,610.04 = 14,648.16/x
  3. Step 3: Cross multiply
    25,736.24x = 38,610.04 × 14,648.16
  4. Step 4: Simplify right side
    25,736.24x = 565,566,043.53
  5. Step 5: Solve for x
    x = 565,566,043.53/25,736.24
  6. Step 6: Final answer
    x = 21,975.47

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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.