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Finding the Fourth Proportional to 13,874.60, 19,134.12 and 9,404.84

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Solution

The fourth proportional to 13,874.60, 19,134.12 and 9,404.84 is: 12,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.60 : 19,134.12 = 9,404.84 : x
  2. Step 2: Convert to fraction form
    13,874.60/19,134.12 = 9,404.84/x
  3. Step 3: Cross multiply
    13,874.60x = 19,134.12 × 9,404.84
  4. Step 4: Simplify right side
    13,874.60x = 179,953,337.14
  5. Step 5: Solve for x
    x = 179,953,337.14/13,874.60
  6. Step 6: Final answer
    x = 12,969.98

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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.