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Finding the Fourth Proportional to 24,100.37, 36,143.27 and 14,237

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Solution

The fourth proportional to 24,100.37, 36,143.27 and 14,237 is: 21,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100.37 : 36,143.27 = 14,237 : x
  2. Step 2: Convert to fraction form
    24,100.37/36,143.27 = 14,237/x
  3. Step 3: Cross multiply
    24,100.37x = 36,143.27 × 14,237
  4. Step 4: Simplify right side
    24,100.37x = 514,571,663.81
  5. Step 5: Solve for x
    x = 514,571,663.81/24,100.37
  6. Step 6: Final answer
    x = 21,351.19

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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.