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Finding the Fourth Proportional to 21,225.38, 29,291.81 and 12,728.88

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Solution

The fourth proportional to 21,225.38, 29,291.81 and 12,728.88 is: 17,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,225.38 : 29,291.81 = 12,728.88 : x
  2. Step 2: Convert to fraction form
    21,225.38/29,291.81 = 12,728.88/x
  3. Step 3: Cross multiply
    21,225.38x = 29,291.81 × 12,728.88
  4. Step 4: Simplify right side
    21,225.38x = 372,851,870.83
  5. Step 5: Solve for x
    x = 372,851,870.83/21,225.38
  6. Step 6: Final answer
    x = 17,566.33

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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.