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Finding the Fourth Proportional to 21,412, 29,566.80 and 13,467.52

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Solution

The fourth proportional to 21,412, 29,566.80 and 13,467.52 is: 18,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412 : 29,566.80 = 13,467.52 : x
  2. Step 2: Convert to fraction form
    21,412/29,566.80 = 13,467.52/x
  3. Step 3: Cross multiply
    21,412x = 29,566.80 × 13,467.52
  4. Step 4: Simplify right side
    21,412x = 398,191,470.34
  5. Step 5: Solve for x
    x = 398,191,470.34/21,412
  6. Step 6: Final answer
    x = 18,596.65

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