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Finding the Fourth Proportional to 21,705.84, 29,952.72 and 15,744.96

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Solution

The fourth proportional to 21,705.84, 29,952.72 and 15,744.96 is: 21,727.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.84 : 29,952.72 = 15,744.96 : x
  2. Step 2: Convert to fraction form
    21,705.84/29,952.72 = 15,744.96/x
  3. Step 3: Cross multiply
    21,705.84x = 29,952.72 × 15,744.96
  4. Step 4: Simplify right side
    21,705.84x = 471,604,378.29
  5. Step 5: Solve for x
    x = 471,604,378.29/21,705.84
  6. Step 6: Final answer
    x = 21,727.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.