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Finding the Fourth Proportional to 23,313.84, 32,173.16 and 13,242.28

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Solution

The fourth proportional to 23,313.84, 32,173.16 and 13,242.28 is: 18,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,313.84 : 32,173.16 = 13,242.28 : x
  2. Step 2: Convert to fraction form
    23,313.84/32,173.16 = 13,242.28/x
  3. Step 3: Cross multiply
    23,313.84x = 32,173.16 × 13,242.28
  4. Step 4: Simplify right side
    23,313.84x = 426,045,993.20
  5. Step 5: Solve for x
    x = 426,045,993.20/23,313.84
  6. Step 6: Final answer
    x = 18,274.38

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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.