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Finding the Fourth Proportional to 22,477.60, 31,019.68 and 12,406.20

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Solution

The fourth proportional to 22,477.60, 31,019.68 and 12,406.20 is: 17,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.60 : 31,019.68 = 12,406.20 : x
  2. Step 2: Convert to fraction form
    22,477.60/31,019.68 = 12,406.20/x
  3. Step 3: Cross multiply
    22,477.60x = 31,019.68 × 12,406.20
  4. Step 4: Simplify right side
    22,477.60x = 384,836,354.02
  5. Step 5: Solve for x
    x = 384,836,354.02/22,477.60
  6. Step 6: Final answer
    x = 17,120.88

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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.