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Finding the Fourth Proportional to 14,582.54, 20,123.86 and 8,294.91

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Solution

The fourth proportional to 14,582.54, 20,123.86 and 8,294.91 is: 11,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.54 : 20,123.86 = 8,294.91 : x
  2. Step 2: Convert to fraction form
    14,582.54/20,123.86 = 8,294.91/x
  3. Step 3: Cross multiply
    14,582.54x = 20,123.86 × 8,294.91
  4. Step 4: Simplify right side
    14,582.54x = 166,925,607.55
  5. Step 5: Solve for x
    x = 166,925,607.55/14,582.54
  6. Step 6: Final answer
    x = 11,446.95

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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.