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Finding the Fourth Proportional to 23,638.46, 32,621.28 and 13,028.46

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Solution

The fourth proportional to 23,638.46, 32,621.28 and 13,028.46 is: 17,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.46 : 32,621.28 = 13,028.46 : x
  2. Step 2: Convert to fraction form
    23,638.46/32,621.28 = 13,028.46/x
  3. Step 3: Cross multiply
    23,638.46x = 32,621.28 × 13,028.46
  4. Step 4: Simplify right side
    23,638.46x = 425,005,041.63
  5. Step 5: Solve for x
    x = 425,005,041.63/23,638.46
  6. Step 6: Final answer
    x = 17,979.39

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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.