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Finding the Fourth Proportional to 25,733.88, 38,612.82 and 9,106.50

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Solution

The fourth proportional to 25,733.88, 38,612.82 and 9,106.50 is: 13,664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,733.88 : 38,612.82 = 9,106.50 : x
  2. Step 2: Convert to fraction form
    25,733.88/38,612.82 = 9,106.50/x
  3. Step 3: Cross multiply
    25,733.88x = 38,612.82 × 9,106.50
  4. Step 4: Simplify right side
    25,733.88x = 351,627,645.33
  5. Step 5: Solve for x
    x = 351,627,645.33/25,733.88
  6. Step 6: Final answer
    x = 13,664.00

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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.