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Finding the Fourth Proportional to 14,265.90, 21,354 and 9,797.40

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Solution

The fourth proportional to 14,265.90, 21,354 and 9,797.40 is: 14,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.90 : 21,354 = 9,797.40 : x
  2. Step 2: Convert to fraction form
    14,265.90/21,354 = 9,797.40/x
  3. Step 3: Cross multiply
    14,265.90x = 21,354 × 9,797.40
  4. Step 4: Simplify right side
    14,265.90x = 209,213,679.60
  5. Step 5: Solve for x
    x = 209,213,679.60/14,265.90
  6. Step 6: Final answer
    x = 14,665.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.