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Finding the Fourth Proportional to 14,114.40, 19,475.76 and 7,826.80

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Solution

The fourth proportional to 14,114.40, 19,475.76 and 7,826.80 is: 10,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.40 : 19,475.76 = 7,826.80 : x
  2. Step 2: Convert to fraction form
    14,114.40/19,475.76 = 7,826.80/x
  3. Step 3: Cross multiply
    14,114.40x = 19,475.76 × 7,826.80
  4. Step 4: Simplify right side
    14,114.40x = 152,432,878.37
  5. Step 5: Solve for x
    x = 152,432,878.37/14,114.40
  6. Step 6: Final answer
    x = 10,799.81

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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.