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Finding the Fourth Proportional to 19,913, 29,871.36 and 5,873.04

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Solution

The fourth proportional to 19,913, 29,871.36 and 5,873.04 is: 8,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,913 : 29,871.36 = 5,873.04 : x
  2. Step 2: Convert to fraction form
    19,913/29,871.36 = 5,873.04/x
  3. Step 3: Cross multiply
    19,913x = 29,871.36 × 5,873.04
  4. Step 4: Simplify right side
    19,913x = 175,435,692.13
  5. Step 5: Solve for x
    x = 175,435,692.13/19,913
  6. Step 6: Final answer
    x = 8,810.11

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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.