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Finding the Fourth Proportional to 16,811.84, 25,221.71 and 9,421.40

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Solution

The fourth proportional to 16,811.84, 25,221.71 and 9,421.40 is: 14,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.84 : 25,221.71 = 9,421.40 : x
  2. Step 2: Convert to fraction form
    16,811.84/25,221.71 = 9,421.40/x
  3. Step 3: Cross multiply
    16,811.84x = 25,221.71 × 9,421.40
  4. Step 4: Simplify right side
    16,811.84x = 237,623,818.59
  5. Step 5: Solve for x
    x = 237,623,818.59/16,811.84
  6. Step 6: Final answer
    x = 14,134.31

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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.