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Finding the Fourth Proportional to 21,762.88, 32,655.28 and 16,227.36

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Solution

The fourth proportional to 21,762.88, 32,655.28 and 16,227.36 is: 24,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762.88 : 32,655.28 = 16,227.36 : x
  2. Step 2: Convert to fraction form
    21,762.88/32,655.28 = 16,227.36/x
  3. Step 3: Cross multiply
    21,762.88x = 32,655.28 × 16,227.36
  4. Step 4: Simplify right side
    21,762.88x = 529,908,984.46
  5. Step 5: Solve for x
    x = 529,908,984.46/21,762.88
  6. Step 6: Final answer
    x = 24,349.21

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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.