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Finding the Fourth Proportional to 25,730.88, 38,574.42 and 24,506.16

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Solution

The fourth proportional to 25,730.88, 38,574.42 and 24,506.16 is: 36,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730.88 : 38,574.42 = 24,506.16 : x
  2. Step 2: Convert to fraction form
    25,730.88/38,574.42 = 24,506.16/x
  3. Step 3: Cross multiply
    25,730.88x = 38,574.42 × 24,506.16
  4. Step 4: Simplify right side
    25,730.88x = 945,310,908.43
  5. Step 5: Solve for x
    x = 945,310,908.43/25,730.88
  6. Step 6: Final answer
    x = 36,738.38

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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.