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Finding the Fourth Proportional to 18,274.71, 25,219.14 and 9,891.21

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Solution

The fourth proportional to 18,274.71, 25,219.14 and 9,891.21 is: 13,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274.71 : 25,219.14 = 9,891.21 : x
  2. Step 2: Convert to fraction form
    18,274.71/25,219.14 = 9,891.21/x
  3. Step 3: Cross multiply
    18,274.71x = 25,219.14 × 9,891.21
  4. Step 4: Simplify right side
    18,274.71x = 249,447,809.76
  5. Step 5: Solve for x
    x = 249,447,809.76/18,274.71
  6. Step 6: Final answer
    x = 13,649.89

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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.