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Finding the Fourth Proportional to 14,205.87, 19,616.49 and 8,909.82

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Solution

The fourth proportional to 14,205.87, 19,616.49 and 8,909.82 is: 12,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.87 : 19,616.49 = 8,909.82 : x
  2. Step 2: Convert to fraction form
    14,205.87/19,616.49 = 8,909.82/x
  3. Step 3: Cross multiply
    14,205.87x = 19,616.49 × 8,909.82
  4. Step 4: Simplify right side
    14,205.87x = 174,779,394.93
  5. Step 5: Solve for x
    x = 174,779,394.93/14,205.87
  6. Step 6: Final answer
    x = 12,303.32

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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.