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Finding the Fourth Proportional to 12,962.21, 19,446.20 and 4,648.28

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Solution

The fourth proportional to 12,962.21, 19,446.20 and 4,648.28 is: 6,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.21 : 19,446.20 = 4,648.28 : x
  2. Step 2: Convert to fraction form
    12,962.21/19,446.20 = 4,648.28/x
  3. Step 3: Cross multiply
    12,962.21x = 19,446.20 × 4,648.28
  4. Step 4: Simplify right side
    12,962.21x = 90,391,262.06
  5. Step 5: Solve for x
    x = 90,391,262.06/12,962.21
  6. Step 6: Final answer
    x = 6,973.45

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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.