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Finding the Fourth Proportional to 14,638.34, 20,201.05 and 7,924.10

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Solution

The fourth proportional to 14,638.34, 20,201.05 and 7,924.10 is: 10,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.34 : 20,201.05 = 7,924.10 : x
  2. Step 2: Convert to fraction form
    14,638.34/20,201.05 = 7,924.10/x
  3. Step 3: Cross multiply
    14,638.34x = 20,201.05 × 7,924.10
  4. Step 4: Simplify right side
    14,638.34x = 160,075,004.63
  5. Step 5: Solve for x
    x = 160,075,004.63/14,638.34
  6. Step 6: Final answer
    x = 10,935.33

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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.