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Finding the Fourth Proportional to 19,805.98, 29,688.96 and 12,415.62

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Solution

The fourth proportional to 19,805.98, 29,688.96 and 12,415.62 is: 18,610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.98 : 29,688.96 = 12,415.62 : x
  2. Step 2: Convert to fraction form
    19,805.98/29,688.96 = 12,415.62/x
  3. Step 3: Cross multiply
    19,805.98x = 29,688.96 × 12,415.62
  4. Step 4: Simplify right side
    19,805.98x = 368,606,780.78
  5. Step 5: Solve for x
    x = 368,606,780.78/19,805.98
  6. Step 6: Final answer
    x = 18,610.89

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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.