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Finding the Fourth Proportional to 13,819, 19,056.90 and 9,291.88

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Solution

The fourth proportional to 13,819, 19,056.90 and 9,291.88 is: 12,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819 : 19,056.90 = 9,291.88 : x
  2. Step 2: Convert to fraction form
    13,819/19,056.90 = 9,291.88/x
  3. Step 3: Cross multiply
    13,819x = 19,056.90 × 9,291.88
  4. Step 4: Simplify right side
    13,819x = 177,074,427.97
  5. Step 5: Solve for x
    x = 177,074,427.97/13,819
  6. Step 6: Final answer
    x = 12,813.84

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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.