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Finding the Fourth Proportional to 14,205.38, 19,588.04 and 9,671

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Solution

The fourth proportional to 14,205.38, 19,588.04 and 9,671 is: 13,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.38 : 19,588.04 = 9,671 : x
  2. Step 2: Convert to fraction form
    14,205.38/19,588.04 = 9,671/x
  3. Step 3: Cross multiply
    14,205.38x = 19,588.04 × 9,671
  4. Step 4: Simplify right side
    14,205.38x = 189,435,934.84
  5. Step 5: Solve for x
    x = 189,435,934.84/14,205.38
  6. Step 6: Final answer
    x = 13,335.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.