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Finding the Fourth Proportional to 22,084.42, 30,478.65 and 16,485.70

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Solution

The fourth proportional to 22,084.42, 30,478.65 and 16,485.70 is: 22,751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,084.42 : 30,478.65 = 16,485.70 : x
  2. Step 2: Convert to fraction form
    22,084.42/30,478.65 = 16,485.70/x
  3. Step 3: Cross multiply
    22,084.42x = 30,478.65 × 16,485.70
  4. Step 4: Simplify right side
    22,084.42x = 502,461,880.31
  5. Step 5: Solve for x
    x = 502,461,880.31/22,084.42
  6. Step 6: Final answer
    x = 22,751.87

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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.