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Finding the Fourth Proportional to 14,203.92, 21,265.68 and 7,525.20

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Solution

The fourth proportional to 14,203.92, 21,265.68 and 7,525.20 is: 11,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.92 : 21,265.68 = 7,525.20 : x
  2. Step 2: Convert to fraction form
    14,203.92/21,265.68 = 7,525.20/x
  3. Step 3: Cross multiply
    14,203.92x = 21,265.68 × 7,525.20
  4. Step 4: Simplify right side
    14,203.92x = 160,028,495.14
  5. Step 5: Solve for x
    x = 160,028,495.14/14,203.92
  6. Step 6: Final answer
    x = 11,266.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.