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Finding the Fourth Proportional to 25,674.27, 38,513.84 and 10,088.25

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Solution

The fourth proportional to 25,674.27, 38,513.84 and 10,088.25 is: 15,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.27 : 38,513.84 = 10,088.25 : x
  2. Step 2: Convert to fraction form
    25,674.27/38,513.84 = 10,088.25/x
  3. Step 3: Cross multiply
    25,674.27x = 38,513.84 × 10,088.25
  4. Step 4: Simplify right side
    25,674.27x = 388,537,195.94
  5. Step 5: Solve for x
    x = 388,537,195.94/25,674.27
  6. Step 6: Final answer
    x = 15,133.33

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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.