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Finding the Fourth Proportional to 21,412.41, 32,118.62 and 13,670.43

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Solution

The fourth proportional to 21,412.41, 32,118.62 and 13,670.43 is: 20,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.41 : 32,118.62 = 13,670.43 : x
  2. Step 2: Convert to fraction form
    21,412.41/32,118.62 = 13,670.43/x
  3. Step 3: Cross multiply
    21,412.41x = 32,118.62 × 13,670.43
  4. Step 4: Simplify right side
    21,412.41x = 439,075,278.05
  5. Step 5: Solve for x
    x = 439,075,278.05/21,412.41
  6. Step 6: Final answer
    x = 20,505.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.