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Finding the Fourth Proportional to 14,464.32, 21,698.08 and 4,601.31

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Solution

The fourth proportional to 14,464.32, 21,698.08 and 4,601.31 is: 6,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.32 : 21,698.08 = 4,601.31 : x
  2. Step 2: Convert to fraction form
    14,464.32/21,698.08 = 4,601.31/x
  3. Step 3: Cross multiply
    14,464.32x = 21,698.08 × 4,601.31
  4. Step 4: Simplify right side
    14,464.32x = 99,839,499.61
  5. Step 5: Solve for x
    x = 99,839,499.61/14,464.32
  6. Step 6: Final answer
    x = 6,902.47

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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.