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Finding the Fourth Proportional to 14,123.66, 19,493.19 and 8,154.50

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Solution

The fourth proportional to 14,123.66, 19,493.19 and 8,154.50 is: 11,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.66 : 19,493.19 = 8,154.50 : x
  2. Step 2: Convert to fraction form
    14,123.66/19,493.19 = 8,154.50/x
  3. Step 3: Cross multiply
    14,123.66x = 19,493.19 × 8,154.50
  4. Step 4: Simplify right side
    14,123.66x = 158,957,217.86
  5. Step 5: Solve for x
    x = 158,957,217.86/14,123.66
  6. Step 6: Final answer
    x = 11,254.68

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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.