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Finding the Fourth Proportional to 19,869.62, 29,809.04 and 5,830.74

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Solution

The fourth proportional to 19,869.62, 29,809.04 and 5,830.74 is: 8,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,869.62 : 29,809.04 = 5,830.74 : x
  2. Step 2: Convert to fraction form
    19,869.62/29,809.04 = 5,830.74/x
  3. Step 3: Cross multiply
    19,869.62x = 29,809.04 × 5,830.74
  4. Step 4: Simplify right side
    19,869.62x = 173,808,732.74
  5. Step 5: Solve for x
    x = 173,808,732.74/19,869.62
  6. Step 6: Final answer
    x = 8,747.46

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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.