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Finding the Fourth Proportional to 13,677.57, 18,875.04 and 7,389.93

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Solution

The fourth proportional to 13,677.57, 18,875.04 and 7,389.93 is: 10,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.57 : 18,875.04 = 7,389.93 : x
  2. Step 2: Convert to fraction form
    13,677.57/18,875.04 = 7,389.93/x
  3. Step 3: Cross multiply
    13,677.57x = 18,875.04 × 7,389.93
  4. Step 4: Simplify right side
    13,677.57x = 139,485,224.35
  5. Step 5: Solve for x
    x = 139,485,224.35/13,677.57
  6. Step 6: Final answer
    x = 10,198.10

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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.