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Finding the Fourth Proportional to 14,818.49, 22,228.16 and 6,494.21

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Solution

The fourth proportional to 14,818.49, 22,228.16 and 6,494.21 is: 9,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,818.49 : 22,228.16 = 6,494.21 : x
  2. Step 2: Convert to fraction form
    14,818.49/22,228.16 = 6,494.21/x
  3. Step 3: Cross multiply
    14,818.49x = 22,228.16 × 6,494.21
  4. Step 4: Simplify right side
    14,818.49x = 144,354,195.34
  5. Step 5: Solve for x
    x = 144,354,195.34/14,818.49
  6. Step 6: Final answer
    x = 9,741.49

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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.