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Finding the Fourth Proportional to 22,312.76, 30,792.33 and 12,242.03

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Solution

The fourth proportional to 22,312.76, 30,792.33 and 12,242.03 is: 16,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312.76 : 30,792.33 = 12,242.03 : x
  2. Step 2: Convert to fraction form
    22,312.76/30,792.33 = 12,242.03/x
  3. Step 3: Cross multiply
    22,312.76x = 30,792.33 × 12,242.03
  4. Step 4: Simplify right side
    22,312.76x = 376,960,473.67
  5. Step 5: Solve for x
    x = 376,960,473.67/22,312.76
  6. Step 6: Final answer
    x = 16,894.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.