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Finding the Fourth Proportional to 21,092.16, 29,116.80 and 14,828.16

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Solution

The fourth proportional to 21,092.16, 29,116.80 and 14,828.16 is: 20,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092.16 : 29,116.80 = 14,828.16 : x
  2. Step 2: Convert to fraction form
    21,092.16/29,116.80 = 14,828.16/x
  3. Step 3: Cross multiply
    21,092.16x = 29,116.80 × 14,828.16
  4. Step 4: Simplify right side
    21,092.16x = 431,748,569.09
  5. Step 5: Solve for x
    x = 431,748,569.09/21,092.16
  6. Step 6: Final answer
    x = 20,469.62

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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.