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Finding the Fourth Proportional to 19,894, 29,841.82 and 6,043

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Solution

The fourth proportional to 19,894, 29,841.82 and 6,043 is: 9,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894 : 29,841.82 = 6,043 : x
  2. Step 2: Convert to fraction form
    19,894/29,841.82 = 6,043/x
  3. Step 3: Cross multiply
    19,894x = 29,841.82 × 6,043
  4. Step 4: Simplify right side
    19,894x = 180,334,118.26
  5. Step 5: Solve for x
    x = 180,334,118.26/19,894
  6. Step 6: Final answer
    x = 9,064.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.