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Finding the Fourth Proportional to 15,536.94, 23,285.95 and 12,237

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Solution

The fourth proportional to 15,536.94, 23,285.95 and 12,237 is: 18,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.94 : 23,285.95 = 12,237 : x
  2. Step 2: Convert to fraction form
    15,536.94/23,285.95 = 12,237/x
  3. Step 3: Cross multiply
    15,536.94x = 23,285.95 × 12,237
  4. Step 4: Simplify right side
    15,536.94x = 284,950,170.15
  5. Step 5: Solve for x
    x = 284,950,170.15/15,536.94
  6. Step 6: Final answer
    x = 18,340.17

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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.