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Finding the Fourth Proportional to 12,648.56, 18,984.50 and 6,412.94

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Solution

The fourth proportional to 12,648.56, 18,984.50 and 6,412.94 is: 9,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.56 : 18,984.50 = 6,412.94 : x
  2. Step 2: Convert to fraction form
    12,648.56/18,984.50 = 6,412.94/x
  3. Step 3: Cross multiply
    12,648.56x = 18,984.50 × 6,412.94
  4. Step 4: Simplify right side
    12,648.56x = 121,746,459.43
  5. Step 5: Solve for x
    x = 121,746,459.43/12,648.56
  6. Step 6: Final answer
    x = 9,625.32

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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.