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Finding the Fourth Proportional to 16,422.24, 22,526.04 and 16,281.60

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Solution

The fourth proportional to 16,422.24, 22,526.04 and 16,281.60 is: 22,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.24 : 22,526.04 = 16,281.60 : x
  2. Step 2: Convert to fraction form
    16,422.24/22,526.04 = 16,281.60/x
  3. Step 3: Cross multiply
    16,422.24x = 22,526.04 × 16,281.60
  4. Step 4: Simplify right side
    16,422.24x = 366,759,972.86
  5. Step 5: Solve for x
    x = 366,759,972.86/16,422.24
  6. Step 6: Final answer
    x = 22,333.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.