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Finding the Fourth Proportional to 21,427.20, 32,140.80 and 14,860.80

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Solution

The fourth proportional to 21,427.20, 32,140.80 and 14,860.80 is: 22,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,427.20 : 32,140.80 = 14,860.80 : x
  2. Step 2: Convert to fraction form
    21,427.20/32,140.80 = 14,860.80/x
  3. Step 3: Cross multiply
    21,427.20x = 32,140.80 × 14,860.80
  4. Step 4: Simplify right side
    21,427.20x = 477,638,000.64
  5. Step 5: Solve for x
    x = 477,638,000.64/21,427.20
  6. Step 6: Final answer
    x = 22,291.20

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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.