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Finding the Fourth Proportional to 18,706.86, 25,810.05 and 11,534.34

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Solution

The fourth proportional to 18,706.86, 25,810.05 and 11,534.34 is: 15,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,706.86 : 25,810.05 = 11,534.34 : x
  2. Step 2: Convert to fraction form
    18,706.86/25,810.05 = 11,534.34/x
  3. Step 3: Cross multiply
    18,706.86x = 25,810.05 × 11,534.34
  4. Step 4: Simplify right side
    18,706.86x = 297,701,892.12
  5. Step 5: Solve for x
    x = 297,701,892.12/18,706.86
  6. Step 6: Final answer
    x = 15,914.05

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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.