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Finding the Fourth Proportional to 13,774.92, 19,037.40 and 10,416.60

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Solution

The fourth proportional to 13,774.92, 19,037.40 and 10,416.60 is: 14,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.92 : 19,037.40 = 10,416.60 : x
  2. Step 2: Convert to fraction form
    13,774.92/19,037.40 = 10,416.60/x
  3. Step 3: Cross multiply
    13,774.92x = 19,037.40 × 10,416.60
  4. Step 4: Simplify right side
    13,774.92x = 198,304,980.84
  5. Step 5: Solve for x
    x = 198,304,980.84/13,774.92
  6. Step 6: Final answer
    x = 14,396.09

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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.