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Finding the Fourth Proportional to 14,997.84, 22,496.94 and 9,076.02

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Solution

The fourth proportional to 14,997.84, 22,496.94 and 9,076.02 is: 13,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997.84 : 22,496.94 = 9,076.02 : x
  2. Step 2: Convert to fraction form
    14,997.84/22,496.94 = 9,076.02/x
  3. Step 3: Cross multiply
    14,997.84x = 22,496.94 × 9,076.02
  4. Step 4: Simplify right side
    14,997.84x = 204,182,677.38
  5. Step 5: Solve for x
    x = 204,182,677.38/14,997.84
  6. Step 6: Final answer
    x = 13,614.14

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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.