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Finding the Fourth Proportional to 14,646.21, 21,914.43 and 8,701.41

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Solution

The fourth proportional to 14,646.21, 21,914.43 and 8,701.41 is: 13,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.21 : 21,914.43 = 8,701.41 : x
  2. Step 2: Convert to fraction form
    14,646.21/21,914.43 = 8,701.41/x
  3. Step 3: Cross multiply
    14,646.21x = 21,914.43 × 8,701.41
  4. Step 4: Simplify right side
    14,646.21x = 190,686,440.35
  5. Step 5: Solve for x
    x = 190,686,440.35/14,646.21
  6. Step 6: Final answer
    x = 13,019.51

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Why These Related Problems?

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