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Finding the Fourth Proportional to 17,886.30, 24,677.91 and 13,186.14

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Solution

The fourth proportional to 17,886.30, 24,677.91 and 13,186.14 is: 18,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886.30 : 24,677.91 = 13,186.14 : x
  2. Step 2: Convert to fraction form
    17,886.30/24,677.91 = 13,186.14/x
  3. Step 3: Cross multiply
    17,886.30x = 24,677.91 × 13,186.14
  4. Step 4: Simplify right side
    17,886.30x = 325,406,376.17
  5. Step 5: Solve for x
    x = 325,406,376.17/17,886.30
  6. Step 6: Final answer
    x = 18,193.05

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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.