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Finding the Fourth Proportional to 16,206.66, 24,267.90 and 13,881.60

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Solution

The fourth proportional to 16,206.66, 24,267.90 and 13,881.60 is: 20,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.66 : 24,267.90 = 13,881.60 : x
  2. Step 2: Convert to fraction form
    16,206.66/24,267.90 = 13,881.60/x
  3. Step 3: Cross multiply
    16,206.66x = 24,267.90 × 13,881.60
  4. Step 4: Simplify right side
    16,206.66x = 336,877,280.64
  5. Step 5: Solve for x
    x = 336,877,280.64/16,206.66
  6. Step 6: Final answer
    x = 20,786.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.