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Finding the Fourth Proportional to 14,123.64, 19,493.46 and 8,156.28

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Solution

The fourth proportional to 14,123.64, 19,493.46 and 8,156.28 is: 11,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.64 : 19,493.46 = 8,156.28 : x
  2. Step 2: Convert to fraction form
    14,123.64/19,493.46 = 8,156.28/x
  3. Step 3: Cross multiply
    14,123.64x = 19,493.46 × 8,156.28
  4. Step 4: Simplify right side
    14,123.64x = 158,994,117.93
  5. Step 5: Solve for x
    x = 158,994,117.93/14,123.64
  6. Step 6: Final answer
    x = 11,257.30

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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.