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Finding the Fourth Proportional to 16,334.48, 22,537.64 and 10,364

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Solution

The fourth proportional to 16,334.48, 22,537.64 and 10,364 is: 14,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.48 : 22,537.64 = 10,364 : x
  2. Step 2: Convert to fraction form
    16,334.48/22,537.64 = 10,364/x
  3. Step 3: Cross multiply
    16,334.48x = 22,537.64 × 10,364
  4. Step 4: Simplify right side
    16,334.48x = 233,580,100.96
  5. Step 5: Solve for x
    x = 233,580,100.96/16,334.48
  6. Step 6: Final answer
    x = 14,299.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.