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Finding the Fourth Proportional to 23,496.16, 35,217.36 and 9,628

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Solution

The fourth proportional to 23,496.16, 35,217.36 and 9,628 is: 14,430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496.16 : 35,217.36 = 9,628 : x
  2. Step 2: Convert to fraction form
    23,496.16/35,217.36 = 9,628/x
  3. Step 3: Cross multiply
    23,496.16x = 35,217.36 × 9,628
  4. Step 4: Simplify right side
    23,496.16x = 339,072,742.08
  5. Step 5: Solve for x
    x = 339,072,742.08/23,496.16
  6. Step 6: Final answer
    x = 14,430.99

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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.