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Finding the Fourth Proportional to 21,673.17, 32,519.14 and 7,643.22

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Solution

The fourth proportional to 21,673.17, 32,519.14 and 7,643.22 is: 11,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,673.17 : 32,519.14 = 7,643.22 : x
  2. Step 2: Convert to fraction form
    21,673.17/32,519.14 = 7,643.22/x
  3. Step 3: Cross multiply
    21,673.17x = 32,519.14 × 7,643.22
  4. Step 4: Simplify right side
    21,673.17x = 248,550,740.42
  5. Step 5: Solve for x
    x = 248,550,740.42/21,673.17
  6. Step 6: Final answer
    x = 11,468.13

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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.