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Finding the Fourth Proportional to 23,630.98, 35,457.45 and 9,600.68

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Solution

The fourth proportional to 23,630.98, 35,457.45 and 9,600.68 is: 14,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,630.98 : 35,457.45 = 9,600.68 : x
  2. Step 2: Convert to fraction form
    23,630.98/35,457.45 = 9,600.68/x
  3. Step 3: Cross multiply
    23,630.98x = 35,457.45 × 9,600.68
  4. Step 4: Simplify right side
    23,630.98x = 340,415,631.07
  5. Step 5: Solve for x
    x = 340,415,631.07/23,630.98
  6. Step 6: Final answer
    x = 14,405.48

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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.