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Finding the Fourth Proportional to 13,678.27, 18,875.99 and 7,390.64

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Solution

The fourth proportional to 13,678.27, 18,875.99 and 7,390.64 is: 10,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.27 : 18,875.99 = 7,390.64 : x
  2. Step 2: Convert to fraction form
    13,678.27/18,875.99 = 7,390.64/x
  3. Step 3: Cross multiply
    13,678.27x = 18,875.99 × 7,390.64
  4. Step 4: Simplify right side
    13,678.27x = 139,505,670.83
  5. Step 5: Solve for x
    x = 139,505,670.83/13,678.27
  6. Step 6: Final answer
    x = 10,199.07

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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.