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Finding the Fourth Proportional to 24,506.21, 36,771.48 and 9,714.80

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Solution

The fourth proportional to 24,506.21, 36,771.48 and 9,714.80 is: 14,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.21 : 36,771.48 = 9,714.80 : x
  2. Step 2: Convert to fraction form
    24,506.21/36,771.48 = 9,714.80/x
  3. Step 3: Cross multiply
    24,506.21x = 36,771.48 × 9,714.80
  4. Step 4: Simplify right side
    24,506.21x = 357,227,665.83
  5. Step 5: Solve for x
    x = 357,227,665.83/24,506.21
  6. Step 6: Final answer
    x = 14,577.02

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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.