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Finding the Fourth Proportional to 25,953.64, 38,923.98 and 8,428.48

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Solution

The fourth proportional to 25,953.64, 38,923.98 and 8,428.48 is: 12,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,953.64 : 38,923.98 = 8,428.48 : x
  2. Step 2: Convert to fraction form
    25,953.64/38,923.98 = 8,428.48/x
  3. Step 3: Cross multiply
    25,953.64x = 38,923.98 × 8,428.48
  4. Step 4: Simplify right side
    25,953.64x = 328,069,986.95
  5. Step 5: Solve for x
    x = 328,069,986.95/25,953.64
  6. Step 6: Final answer
    x = 12,640.62

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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.