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Finding the Fourth Proportional to 14,311.42, 21,462.75 and 9,897.45

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Solution

The fourth proportional to 14,311.42, 21,462.75 and 9,897.45 is: 14,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.42 : 21,462.75 = 9,897.45 : x
  2. Step 2: Convert to fraction form
    14,311.42/21,462.75 = 9,897.45/x
  3. Step 3: Cross multiply
    14,311.42x = 21,462.75 × 9,897.45
  4. Step 4: Simplify right side
    14,311.42x = 212,426,519.73
  5. Step 5: Solve for x
    x = 212,426,519.73/14,311.42
  6. Step 6: Final answer
    x = 14,843.15

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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.