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Finding the Fourth Proportional to 21,886.40, 32,853.90 and 13,575.80

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Solution

The fourth proportional to 21,886.40, 32,853.90 and 13,575.80 is: 20,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.40 : 32,853.90 = 13,575.80 : x
  2. Step 2: Convert to fraction form
    21,886.40/32,853.90 = 13,575.80/x
  3. Step 3: Cross multiply
    21,886.40x = 32,853.90 × 13,575.80
  4. Step 4: Simplify right side
    21,886.40x = 446,017,975.62
  5. Step 5: Solve for x
    x = 446,017,975.62/21,886.40
  6. Step 6: Final answer
    x = 20,378.77

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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.