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Finding the Fourth Proportional to 13,894.68, 19,167.60 and 10,538.04

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Solution

The fourth proportional to 13,894.68, 19,167.60 and 10,538.04 is: 14,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.68 : 19,167.60 = 10,538.04 : x
  2. Step 2: Convert to fraction form
    13,894.68/19,167.60 = 10,538.04/x
  3. Step 3: Cross multiply
    13,894.68x = 19,167.60 × 10,538.04
  4. Step 4: Simplify right side
    13,894.68x = 201,988,935.50
  5. Step 5: Solve for x
    x = 201,988,935.50/13,894.68
  6. Step 6: Final answer
    x = 14,537.14

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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.