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Finding the Fourth Proportional to 14,009, 21,017.10 and 5,244.04

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Solution

The fourth proportional to 14,009, 21,017.10 and 5,244.04 is: 7,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009 : 21,017.10 = 5,244.04 : x
  2. Step 2: Convert to fraction form
    14,009/21,017.10 = 5,244.04/x
  3. Step 3: Cross multiply
    14,009x = 21,017.10 × 5,244.04
  4. Step 4: Simplify right side
    14,009x = 110,214,513.08
  5. Step 5: Solve for x
    x = 110,214,513.08/14,009
  6. Step 6: Final answer
    x = 7,867.41

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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.