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Finding the Fourth Proportional to 22,423, 30,943.74 and 12,997.03

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Solution

The fourth proportional to 22,423, 30,943.74 and 12,997.03 is: 17,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,423 : 30,943.74 = 12,997.03 : x
  2. Step 2: Convert to fraction form
    22,423/30,943.74 = 12,997.03/x
  3. Step 3: Cross multiply
    22,423x = 30,943.74 × 12,997.03
  4. Step 4: Simplify right side
    22,423x = 402,176,717.09
  5. Step 5: Solve for x
    x = 402,176,717.09/22,423
  6. Step 6: Final answer
    x = 17,935.90

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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.