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Finding the Fourth Proportional to 21,682.78, 29,886.43 and 14,510.14

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Solution

The fourth proportional to 21,682.78, 29,886.43 and 14,510.14 is: 20,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682.78 : 29,886.43 = 14,510.14 : x
  2. Step 2: Convert to fraction form
    21,682.78/29,886.43 = 14,510.14/x
  3. Step 3: Cross multiply
    21,682.78x = 29,886.43 × 14,510.14
  4. Step 4: Simplify right side
    21,682.78x = 433,656,283.40
  5. Step 5: Solve for x
    x = 433,656,283.40/21,682.78
  6. Step 6: Final answer
    x = 20,000.03

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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.