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Finding the Fourth Proportional to 13,409.94, 18,513.86 and 10,420.14

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Solution

The fourth proportional to 13,409.94, 18,513.86 and 10,420.14 is: 14,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.94 : 18,513.86 = 10,420.14 : x
  2. Step 2: Convert to fraction form
    13,409.94/18,513.86 = 10,420.14/x
  3. Step 3: Cross multiply
    13,409.94x = 18,513.86 × 10,420.14
  4. Step 4: Simplify right side
    13,409.94x = 192,917,013.14
  5. Step 5: Solve for x
    x = 192,917,013.14/13,409.94
  6. Step 6: Final answer
    x = 14,386.12

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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.