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Finding the Fourth Proportional to 22,802.21, 31,464.10 and 14,855.20

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Solution

The fourth proportional to 22,802.21, 31,464.10 and 14,855.20 is: 20,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.21 : 31,464.10 = 14,855.20 : x
  2. Step 2: Convert to fraction form
    22,802.21/31,464.10 = 14,855.20/x
  3. Step 3: Cross multiply
    22,802.21x = 31,464.10 × 14,855.20
  4. Step 4: Simplify right side
    22,802.21x = 467,405,354.67
  5. Step 5: Solve for x
    x = 467,405,354.67/22,802.21
  6. Step 6: Final answer
    x = 20,498.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.