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Finding the Fourth Proportional to 15,989.50, 23,980.08 and 6,632.17

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Solution

The fourth proportional to 15,989.50, 23,980.08 and 6,632.17 is: 9,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,989.50 : 23,980.08 = 6,632.17 : x
  2. Step 2: Convert to fraction form
    15,989.50/23,980.08 = 6,632.17/x
  3. Step 3: Cross multiply
    15,989.50x = 23,980.08 × 6,632.17
  4. Step 4: Simplify right side
    15,989.50x = 159,039,847.27
  5. Step 5: Solve for x
    x = 159,039,847.27/15,989.50
  6. Step 6: Final answer
    x = 9,946.52

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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.