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Finding the Fourth Proportional to 22,023.84, 30,385.53 and 12,462.40

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Solution

The fourth proportional to 22,023.84, 30,385.53 and 12,462.40 is: 17,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023.84 : 30,385.53 = 12,462.40 : x
  2. Step 2: Convert to fraction form
    22,023.84/30,385.53 = 12,462.40/x
  3. Step 3: Cross multiply
    22,023.84x = 30,385.53 × 12,462.40
  4. Step 4: Simplify right side
    22,023.84x = 378,676,629.07
  5. Step 5: Solve for x
    x = 378,676,629.07/22,023.84
  6. Step 6: Final answer
    x = 17,193.94

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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.