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Finding the Fourth Proportional to 25,625.64, 38,436.93 and 9,838.23

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Solution

The fourth proportional to 25,625.64, 38,436.93 and 9,838.23 is: 14,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,625.64 : 38,436.93 = 9,838.23 : x
  2. Step 2: Convert to fraction form
    25,625.64/38,436.93 = 9,838.23/x
  3. Step 3: Cross multiply
    25,625.64x = 38,436.93 × 9,838.23
  4. Step 4: Simplify right side
    25,625.64x = 378,151,357.83
  5. Step 5: Solve for x
    x = 378,151,357.83/25,625.64
  6. Step 6: Final answer
    x = 14,756.76

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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.