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Finding the Fourth Proportional to 14,497.90, 21,767.10 and 9,265.30

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Solution

The fourth proportional to 14,497.90, 21,767.10 and 9,265.30 is: 13,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.90 : 21,767.10 = 9,265.30 : x
  2. Step 2: Convert to fraction form
    14,497.90/21,767.10 = 9,265.30/x
  3. Step 3: Cross multiply
    14,497.90x = 21,767.10 × 9,265.30
  4. Step 4: Simplify right side
    14,497.90x = 201,678,711.63
  5. Step 5: Solve for x
    x = 201,678,711.63/14,497.90
  6. Step 6: Final answer
    x = 13,910.89

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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.