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Finding the Fourth Proportional to 43,050.84, 64,576.17 and 11,886

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Solution

The fourth proportional to 43,050.84, 64,576.17 and 11,886 is: 17,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,050.84 : 64,576.17 = 11,886 : x
  2. Step 2: Convert to fraction form
    43,050.84/64,576.17 = 11,886/x
  3. Step 3: Cross multiply
    43,050.84x = 64,576.17 × 11,886
  4. Step 4: Simplify right side
    43,050.84x = 767,552,356.62
  5. Step 5: Solve for x
    x = 767,552,356.62/43,050.84
  6. Step 6: Final answer
    x = 17,828.98

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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.