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Finding the Fourth Proportional to 17,486.16, 24,137.64 and 12,807.60

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Solution

The fourth proportional to 17,486.16, 24,137.64 and 12,807.60 is: 17,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,486.16 : 24,137.64 = 12,807.60 : x
  2. Step 2: Convert to fraction form
    17,486.16/24,137.64 = 12,807.60/x
  3. Step 3: Cross multiply
    17,486.16x = 24,137.64 × 12,807.60
  4. Step 4: Simplify right side
    17,486.16x = 309,145,238.06
  5. Step 5: Solve for x
    x = 309,145,238.06/17,486.16
  6. Step 6: Final answer
    x = 17,679.42

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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.