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Finding the Fourth Proportional to 12,553.66, 18,830.51 and 5,152.96

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Solution

The fourth proportional to 12,553.66, 18,830.51 and 5,152.96 is: 7,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,553.66 : 18,830.51 = 5,152.96 : x
  2. Step 2: Convert to fraction form
    12,553.66/18,830.51 = 5,152.96/x
  3. Step 3: Cross multiply
    12,553.66x = 18,830.51 × 5,152.96
  4. Step 4: Simplify right side
    12,553.66x = 97,032,744.89
  5. Step 5: Solve for x
    x = 97,032,744.89/12,553.66
  6. Step 6: Final answer
    x = 7,729.44

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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.