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Finding the Fourth Proportional to 21,416.40, 29,566.82 and 14,965.16

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Solution

The fourth proportional to 21,416.40, 29,566.82 and 14,965.16 is: 20,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.40 : 29,566.82 = 14,965.16 : x
  2. Step 2: Convert to fraction form
    21,416.40/29,566.82 = 14,965.16/x
  3. Step 3: Cross multiply
    21,416.40x = 29,566.82 × 14,965.16
  4. Step 4: Simplify right side
    21,416.40x = 442,472,081.57
  5. Step 5: Solve for x
    x = 442,472,081.57/21,416.40
  6. Step 6: Final answer
    x = 20,660.43

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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.