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Finding the Fourth Proportional to 18,486.16, 25,511 and 10,102.84

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Solution

The fourth proportional to 18,486.16, 25,511 and 10,102.84 is: 13,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,486.16 : 25,511 = 10,102.84 : x
  2. Step 2: Convert to fraction form
    18,486.16/25,511 = 10,102.84/x
  3. Step 3: Cross multiply
    18,486.16x = 25,511 × 10,102.84
  4. Step 4: Simplify right side
    18,486.16x = 257,733,551.24
  5. Step 5: Solve for x
    x = 257,733,551.24/18,486.16
  6. Step 6: Final answer
    x = 13,941.97

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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.