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Finding the Fourth Proportional to 34,377.84, 51,574.32 and 11,006.64

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Solution

The fourth proportional to 34,377.84, 51,574.32 and 11,006.64 is: 16,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,377.84 : 51,574.32 = 11,006.64 : x
  2. Step 2: Convert to fraction form
    34,377.84/51,574.32 = 11,006.64/x
  3. Step 3: Cross multiply
    34,377.84x = 51,574.32 × 11,006.64
  4. Step 4: Simplify right side
    34,377.84x = 567,659,973.48
  5. Step 5: Solve for x
    x = 567,659,973.48/34,377.84
  6. Step 6: Final answer
    x = 16,512.38

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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.