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Finding the Fourth Proportional to 15,649.12, 23,463.28 and 8,632.50

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Solution

The fourth proportional to 15,649.12, 23,463.28 and 8,632.50 is: 12,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.12 : 23,463.28 = 8,632.50 : x
  2. Step 2: Convert to fraction form
    15,649.12/23,463.28 = 8,632.50/x
  3. Step 3: Cross multiply
    15,649.12x = 23,463.28 × 8,632.50
  4. Step 4: Simplify right side
    15,649.12x = 202,546,764.60
  5. Step 5: Solve for x
    x = 202,546,764.60/15,649.12
  6. Step 6: Final answer
    x = 12,943.01

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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.