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Finding the Fourth Proportional to 22,023.24, 30,392.04 and 12,592

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Solution

The fourth proportional to 22,023.24, 30,392.04 and 12,592 is: 17,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023.24 : 30,392.04 = 12,592 : x
  2. Step 2: Convert to fraction form
    22,023.24/30,392.04 = 12,592/x
  3. Step 3: Cross multiply
    22,023.24x = 30,392.04 × 12,592
  4. Step 4: Simplify right side
    22,023.24x = 382,696,567.68
  5. Step 5: Solve for x
    x = 382,696,567.68/22,023.24
  6. Step 6: Final answer
    x = 17,376.94

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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.