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Finding the Fourth Proportional to 23,534.28, 32,477.76 and 12,923.28

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Solution

The fourth proportional to 23,534.28, 32,477.76 and 12,923.28 is: 17,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.28 : 32,477.76 = 12,923.28 : x
  2. Step 2: Convert to fraction form
    23,534.28/32,477.76 = 12,923.28/x
  3. Step 3: Cross multiply
    23,534.28x = 32,477.76 × 12,923.28
  4. Step 4: Simplify right side
    23,534.28x = 419,719,186.25
  5. Step 5: Solve for x
    x = 419,719,186.25/23,534.28
  6. Step 6: Final answer
    x = 17,834.38

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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.