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Finding the Fourth Proportional to 23,693.69, 35,552.84 and 9,664.01

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Solution

The fourth proportional to 23,693.69, 35,552.84 and 9,664.01 is: 14,501.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.69 : 35,552.84 = 9,664.01 : x
  2. Step 2: Convert to fraction form
    23,693.69/35,552.84 = 9,664.01/x
  3. Step 3: Cross multiply
    23,693.69x = 35,552.84 × 9,664.01
  4. Step 4: Simplify right side
    23,693.69x = 343,582,952.97
  5. Step 5: Solve for x
    x = 343,582,952.97/23,693.69
  6. Step 6: Final answer
    x = 14,501.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.