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Finding the Fourth Proportional to 25,713.30, 38,574.78 and 11,674.32

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Solution

The fourth proportional to 25,713.30, 38,574.78 and 11,674.32 is: 17,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.30 : 38,574.78 = 11,674.32 : x
  2. Step 2: Convert to fraction form
    25,713.30/38,574.78 = 11,674.32/x
  3. Step 3: Cross multiply
    25,713.30x = 38,574.78 × 11,674.32
  4. Step 4: Simplify right side
    25,713.30x = 450,334,325.65
  5. Step 5: Solve for x
    x = 450,334,325.65/25,713.30
  6. Step 6: Final answer
    x = 17,513.67

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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.