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Finding the Fourth Proportional to 25,465.28, 38,124 and 15,574.37

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Solution

The fourth proportional to 25,465.28, 38,124 and 15,574.37 is: 23,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465.28 : 38,124 = 15,574.37 : x
  2. Step 2: Convert to fraction form
    25,465.28/38,124 = 15,574.37/x
  3. Step 3: Cross multiply
    25,465.28x = 38,124 × 15,574.37
  4. Step 4: Simplify right side
    25,465.28x = 593,757,091.26
  5. Step 5: Solve for x
    x = 593,757,091.26/25,465.28
  6. Step 6: Final answer
    x = 23,316.34

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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.