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Finding the Fourth Proportional to 23,497.16, 35,218.86 and 9,629

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Solution

The fourth proportional to 23,497.16, 35,218.86 and 9,629 is: 14,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.16 : 35,218.86 = 9,629 : x
  2. Step 2: Convert to fraction form
    23,497.16/35,218.86 = 9,629/x
  3. Step 3: Cross multiply
    23,497.16x = 35,218.86 × 9,629
  4. Step 4: Simplify right side
    23,497.16x = 339,122,402.94
  5. Step 5: Solve for x
    x = 339,122,402.94/23,497.16
  6. Step 6: Final answer
    x = 14,432.48

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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.