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Finding the Fourth Proportional to 13,678.86, 18,875.48 and 7,709.96

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Solution

The fourth proportional to 13,678.86, 18,875.48 and 7,709.96 is: 10,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.86 : 18,875.48 = 7,709.96 : x
  2. Step 2: Convert to fraction form
    13,678.86/18,875.48 = 7,709.96/x
  3. Step 3: Cross multiply
    13,678.86x = 18,875.48 × 7,709.96
  4. Step 4: Simplify right side
    13,678.86x = 145,529,195.78
  5. Step 5: Solve for x
    x = 145,529,195.78/13,678.86
  6. Step 6: Final answer
    x = 10,638.99

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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.