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Finding the Fourth Proportional to 24,708.64, 34,097.94 and 13,378.14

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Solution

The fourth proportional to 24,708.64, 34,097.94 and 13,378.14 is: 18,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708.64 : 34,097.94 = 13,378.14 : x
  2. Step 2: Convert to fraction form
    24,708.64/34,097.94 = 13,378.14/x
  3. Step 3: Cross multiply
    24,708.64x = 34,097.94 × 13,378.14
  4. Step 4: Simplify right side
    24,708.64x = 456,167,015.03
  5. Step 5: Solve for x
    x = 456,167,015.03/24,708.64
  6. Step 6: Final answer
    x = 18,461.84

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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.