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Finding the Fourth Proportional to 14,644.96, 21,965.20 and 4,784.32

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Solution

The fourth proportional to 14,644.96, 21,965.20 and 4,784.32 is: 7,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.96 : 21,965.20 = 4,784.32 : x
  2. Step 2: Convert to fraction form
    14,644.96/21,965.20 = 4,784.32/x
  3. Step 3: Cross multiply
    14,644.96x = 21,965.20 × 4,784.32
  4. Step 4: Simplify right side
    14,644.96x = 105,088,545.66
  5. Step 5: Solve for x
    x = 105,088,545.66/14,644.96
  6. Step 6: Final answer
    x = 7,175.75

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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.