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Finding the Fourth Proportional to 13,257.30, 19,871.19 and 5,459.34

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Solution

The fourth proportional to 13,257.30, 19,871.19 and 5,459.34 is: 8,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.30 : 19,871.19 = 5,459.34 : x
  2. Step 2: Convert to fraction form
    13,257.30/19,871.19 = 5,459.34/x
  3. Step 3: Cross multiply
    13,257.30x = 19,871.19 × 5,459.34
  4. Step 4: Simplify right side
    13,257.30x = 108,483,582.41
  5. Step 5: Solve for x
    x = 108,483,582.41/13,257.30
  6. Step 6: Final answer
    x = 8,182.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.