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Finding the Fourth Proportional to 13,832.74, 19,088.52 and 8,464.10

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Solution

The fourth proportional to 13,832.74, 19,088.52 and 8,464.10 is: 11,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.74 : 19,088.52 = 8,464.10 : x
  2. Step 2: Convert to fraction form
    13,832.74/19,088.52 = 8,464.10/x
  3. Step 3: Cross multiply
    13,832.74x = 19,088.52 × 8,464.10
  4. Step 4: Simplify right side
    13,832.74x = 161,567,142.13
  5. Step 5: Solve for x
    x = 161,567,142.13/13,832.74
  6. Step 6: Final answer
    x = 11,680.05

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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.