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Finding the Fourth Proportional to 14,824.70, 22,231.65 and 4,964.30

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Solution

The fourth proportional to 14,824.70, 22,231.65 and 4,964.30 is: 7,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.70 : 22,231.65 = 4,964.30 : x
  2. Step 2: Convert to fraction form
    14,824.70/22,231.65 = 4,964.30/x
  3. Step 3: Cross multiply
    14,824.70x = 22,231.65 × 4,964.30
  4. Step 4: Simplify right side
    14,824.70x = 110,364,580.10
  5. Step 5: Solve for x
    x = 110,364,580.10/14,824.70
  6. Step 6: Final answer
    x = 7,444.64

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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.