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Finding the Fourth Proportional to 14,524.18, 21,785.83 and 4,663.42

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Solution

The fourth proportional to 14,524.18, 21,785.83 and 4,663.42 is: 6,994.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524.18 : 21,785.83 = 4,663.42 : x
  2. Step 2: Convert to fraction form
    14,524.18/21,785.83 = 4,663.42/x
  3. Step 3: Cross multiply
    14,524.18x = 21,785.83 × 4,663.42
  4. Step 4: Simplify right side
    14,524.18x = 101,596,475.34
  5. Step 5: Solve for x
    x = 101,596,475.34/14,524.18
  6. Step 6: Final answer
    x = 6,994.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.