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Finding the Fourth Proportional to 24,577.60, 36,840.32 and 12,080

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Solution

The fourth proportional to 24,577.60, 36,840.32 and 12,080 is: 18,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577.60 : 36,840.32 = 12,080 : x
  2. Step 2: Convert to fraction form
    24,577.60/36,840.32 = 12,080/x
  3. Step 3: Cross multiply
    24,577.60x = 36,840.32 × 12,080
  4. Step 4: Simplify right side
    24,577.60x = 445,031,065.60
  5. Step 5: Solve for x
    x = 445,031,065.60/24,577.60
  6. Step 6: Final answer
    x = 18,107.18

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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.