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Finding the Fourth Proportional to 14,304, 21,455.96 and 5,063.52

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Solution

The fourth proportional to 14,304, 21,455.96 and 5,063.52 is: 7,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,304 : 21,455.96 = 5,063.52 : x
  2. Step 2: Convert to fraction form
    14,304/21,455.96 = 5,063.52/x
  3. Step 3: Cross multiply
    14,304x = 21,455.96 × 5,063.52
  4. Step 4: Simplify right side
    14,304x = 108,642,682.58
  5. Step 5: Solve for x
    x = 108,642,682.58/14,304
  6. Step 6: Final answer
    x = 7,595.27

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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.