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Finding the Fourth Proportional to 23,216, 32,022.68 and 15,559.50

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Solution

The fourth proportional to 23,216, 32,022.68 and 15,559.50 is: 21,461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216 : 32,022.68 = 15,559.50 : x
  2. Step 2: Convert to fraction form
    23,216/32,022.68 = 15,559.50/x
  3. Step 3: Cross multiply
    23,216x = 32,022.68 × 15,559.50
  4. Step 4: Simplify right side
    23,216x = 498,256,889.46
  5. Step 5: Solve for x
    x = 498,256,889.46/23,216
  6. Step 6: Final answer
    x = 21,461.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.