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Finding the Fourth Proportional to 14,574.06, 21,864.33 and 4,185

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Solution

The fourth proportional to 14,574.06, 21,864.33 and 4,185 is: 6,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.06 : 21,864.33 = 4,185 : x
  2. Step 2: Convert to fraction form
    14,574.06/21,864.33 = 4,185/x
  3. Step 3: Cross multiply
    14,574.06x = 21,864.33 × 4,185
  4. Step 4: Simplify right side
    14,574.06x = 91,502,221.05
  5. Step 5: Solve for x
    x = 91,502,221.05/14,574.06
  6. Step 6: Final answer
    x = 6,278.43

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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.