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Finding the Fourth Proportional to 14,228.98, 19,645.71 and 9,205.36

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Solution

The fourth proportional to 14,228.98, 19,645.71 and 9,205.36 is: 12,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.98 : 19,645.71 = 9,205.36 : x
  2. Step 2: Convert to fraction form
    14,228.98/19,645.71 = 9,205.36/x
  3. Step 3: Cross multiply
    14,228.98x = 19,645.71 × 9,205.36
  4. Step 4: Simplify right side
    14,228.98x = 180,845,833.01
  5. Step 5: Solve for x
    x = 180,845,833.01/14,228.98
  6. Step 6: Final answer
    x = 12,709.68

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