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Finding the Fourth Proportional to 22,095.46, 30,492.38 and 12,024.55

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Solution

The fourth proportional to 22,095.46, 30,492.38 and 12,024.55 is: 16,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,095.46 : 30,492.38 = 12,024.55 : x
  2. Step 2: Convert to fraction form
    22,095.46/30,492.38 = 12,024.55/x
  3. Step 3: Cross multiply
    22,095.46x = 30,492.38 × 12,024.55
  4. Step 4: Simplify right side
    22,095.46x = 366,657,224.16
  5. Step 5: Solve for x
    x = 366,657,224.16/22,095.46
  6. Step 6: Final answer
    x = 16,594.23

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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.