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Finding the Fourth Proportional to 25,570.52, 38,366.95 and 8,942.49

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Solution

The fourth proportional to 25,570.52, 38,366.95 and 8,942.49 is: 13,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,570.52 : 38,366.95 = 8,942.49 : x
  2. Step 2: Convert to fraction form
    25,570.52/38,366.95 = 8,942.49/x
  3. Step 3: Cross multiply
    25,570.52x = 38,366.95 × 8,942.49
  4. Step 4: Simplify right side
    25,570.52x = 343,096,066.71
  5. Step 5: Solve for x
    x = 343,096,066.71/25,570.52
  6. Step 6: Final answer
    x = 13,417.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.