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Finding the Fourth Proportional to 15,137.64, 22,685.76 and 11,436.84

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Solution

The fourth proportional to 15,137.64, 22,685.76 and 11,436.84 is: 17,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.64 : 22,685.76 = 11,436.84 : x
  2. Step 2: Convert to fraction form
    15,137.64/22,685.76 = 11,436.84/x
  3. Step 3: Cross multiply
    15,137.64x = 22,685.76 × 11,436.84
  4. Step 4: Simplify right side
    15,137.64x = 259,453,407.40
  5. Step 5: Solve for x
    x = 259,453,407.40/15,137.64
  6. Step 6: Final answer
    x = 17,139.62

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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.