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Finding the Fourth Proportional to 13,894.30, 19,176.97 and 9,419.49

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Solution

The fourth proportional to 13,894.30, 19,176.97 and 9,419.49 is: 13,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.30 : 19,176.97 = 9,419.49 : x
  2. Step 2: Convert to fraction form
    13,894.30/19,176.97 = 9,419.49/x
  3. Step 3: Cross multiply
    13,894.30x = 19,176.97 × 9,419.49
  4. Step 4: Simplify right side
    13,894.30x = 180,637,271.26
  5. Step 5: Solve for x
    x = 180,637,271.26/13,894.30
  6. Step 6: Final answer
    x = 13,000.82

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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.