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Finding the Fourth Proportional to 13,688.61, 18,893.01 and 7,720.39

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Solution

The fourth proportional to 13,688.61, 18,893.01 and 7,720.39 is: 10,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.61 : 18,893.01 = 7,720.39 : x
  2. Step 2: Convert to fraction form
    13,688.61/18,893.01 = 7,720.39/x
  3. Step 3: Cross multiply
    13,688.61x = 18,893.01 × 7,720.39
  4. Step 4: Simplify right side
    13,688.61x = 145,861,405.47
  5. Step 5: Solve for x
    x = 145,861,405.47/13,688.61
  6. Step 6: Final answer
    x = 10,655.68

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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.