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Finding the Fourth Proportional to 13,678.37, 18,875.89 and 7,709.93

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Solution

The fourth proportional to 13,678.37, 18,875.89 and 7,709.93 is: 10,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.37 : 18,875.89 = 7,709.93 : x
  2. Step 2: Convert to fraction form
    13,678.37/18,875.89 = 7,709.93/x
  3. Step 3: Cross multiply
    13,678.37x = 18,875.89 × 7,709.93
  4. Step 4: Simplify right side
    13,678.37x = 145,531,657.66
  5. Step 5: Solve for x
    x = 145,531,657.66/13,678.37
  6. Step 6: Final answer
    x = 10,639.55

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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.