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Finding the Fourth Proportional to 24,794.66, 34,216.50 and 13,464.05

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Solution

The fourth proportional to 24,794.66, 34,216.50 and 13,464.05 is: 18,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,794.66 : 34,216.50 = 13,464.05 : x
  2. Step 2: Convert to fraction form
    24,794.66/34,216.50 = 13,464.05/x
  3. Step 3: Cross multiply
    24,794.66x = 34,216.50 × 13,464.05
  4. Step 4: Simplify right side
    24,794.66x = 460,692,802.86
  5. Step 5: Solve for x
    x = 460,692,802.86/24,794.66
  6. Step 6: Final answer
    x = 18,580.32

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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.