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Finding the Fourth Proportional to 24,165.64, 36,258.90 and 13,080.14

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Solution

The fourth proportional to 24,165.64, 36,258.90 and 13,080.14 is: 19,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165.64 : 36,258.90 = 13,080.14 : x
  2. Step 2: Convert to fraction form
    24,165.64/36,258.90 = 13,080.14/x
  3. Step 3: Cross multiply
    24,165.64x = 36,258.90 × 13,080.14
  4. Step 4: Simplify right side
    24,165.64x = 474,271,488.25
  5. Step 5: Solve for x
    x = 474,271,488.25/24,165.64
  6. Step 6: Final answer
    x = 19,625.86

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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.