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Finding the Fourth Proportional to 19,685.41, 29,488.77 and 13,429.89

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Solution

The fourth proportional to 19,685.41, 29,488.77 and 13,429.89 is: 20,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.41 : 29,488.77 = 13,429.89 : x
  2. Step 2: Convert to fraction form
    19,685.41/29,488.77 = 13,429.89/x
  3. Step 3: Cross multiply
    19,685.41x = 29,488.77 × 13,429.89
  4. Step 4: Simplify right side
    19,685.41x = 396,030,937.34
  5. Step 5: Solve for x
    x = 396,030,937.34/19,685.41
  6. Step 6: Final answer
    x = 20,118.00

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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.