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Finding the Fourth Proportional to 23,788.16, 32,827.94 and 13,178

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Solution

The fourth proportional to 23,788.16, 32,827.94 and 13,178 is: 18,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.16 : 32,827.94 = 13,178 : x
  2. Step 2: Convert to fraction form
    23,788.16/32,827.94 = 13,178/x
  3. Step 3: Cross multiply
    23,788.16x = 32,827.94 × 13,178
  4. Step 4: Simplify right side
    23,788.16x = 432,606,593.32
  5. Step 5: Solve for x
    x = 432,606,593.32/23,788.16
  6. Step 6: Final answer
    x = 18,185.79

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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.