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Finding the Fourth Proportional to 13,800.40, 19,056.74 and 10,257.46

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Solution

The fourth proportional to 13,800.40, 19,056.74 and 10,257.46 is: 14,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.40 : 19,056.74 = 10,257.46 : x
  2. Step 2: Convert to fraction form
    13,800.40/19,056.74 = 10,257.46/x
  3. Step 3: Cross multiply
    13,800.40x = 19,056.74 × 10,257.46
  4. Step 4: Simplify right side
    13,800.40x = 195,473,649.35
  5. Step 5: Solve for x
    x = 195,473,649.35/13,800.40
  6. Step 6: Final answer
    x = 14,164.35

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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.