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Finding the Fourth Proportional to 14,961.96, 22,438.01 and 4,964.40

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Solution

The fourth proportional to 14,961.96, 22,438.01 and 4,964.40 is: 7,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,961.96 : 22,438.01 = 4,964.40 : x
  2. Step 2: Convert to fraction form
    14,961.96/22,438.01 = 4,964.40/x
  3. Step 3: Cross multiply
    14,961.96x = 22,438.01 × 4,964.40
  4. Step 4: Simplify right side
    14,961.96x = 111,391,232.02
  5. Step 5: Solve for x
    x = 111,391,232.02/14,961.96
  6. Step 6: Final answer
    x = 7,444.96

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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.