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Finding the Fourth Proportional to 21,763.64, 32,614.92 and 9,266.76

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Solution

The fourth proportional to 21,763.64, 32,614.92 and 9,266.76 is: 13,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,763.64 : 32,614.92 = 9,266.76 : x
  2. Step 2: Convert to fraction form
    21,763.64/32,614.92 = 9,266.76/x
  3. Step 3: Cross multiply
    21,763.64x = 32,614.92 × 9,266.76
  4. Step 4: Simplify right side
    21,763.64x = 302,234,636.06
  5. Step 5: Solve for x
    x = 302,234,636.06/21,763.64
  6. Step 6: Final answer
    x = 13,887.14

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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.