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Finding the Fourth Proportional to 21,363.60, 32,045.10 and 9,676.80

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Solution

The fourth proportional to 21,363.60, 32,045.10 and 9,676.80 is: 14,515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,363.60 : 32,045.10 = 9,676.80 : x
  2. Step 2: Convert to fraction form
    21,363.60/32,045.10 = 9,676.80/x
  3. Step 3: Cross multiply
    21,363.60x = 32,045.10 × 9,676.80
  4. Step 4: Simplify right side
    21,363.60x = 310,094,023.68
  5. Step 5: Solve for x
    x = 310,094,023.68/21,363.60
  6. Step 6: Final answer
    x = 14,515.06

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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.