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Finding the Fourth Proportional to 21,851.68, 30,167.76 and 14,421.28

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Solution

The fourth proportional to 21,851.68, 30,167.76 and 14,421.28 is: 19,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.68 : 30,167.76 = 14,421.28 : x
  2. Step 2: Convert to fraction form
    21,851.68/30,167.76 = 14,421.28/x
  3. Step 3: Cross multiply
    21,851.68x = 30,167.76 × 14,421.28
  4. Step 4: Simplify right side
    21,851.68x = 435,057,713.93
  5. Step 5: Solve for x
    x = 435,057,713.93/21,851.68
  6. Step 6: Final answer
    x = 19,909.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.