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Finding the Fourth Proportional to 21,654.64, 29,882.17 and 12,701.46

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Solution

The fourth proportional to 21,654.64, 29,882.17 and 12,701.46 is: 17,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654.64 : 29,882.17 = 12,701.46 : x
  2. Step 2: Convert to fraction form
    21,654.64/29,882.17 = 12,701.46/x
  3. Step 3: Cross multiply
    21,654.64x = 29,882.17 × 12,701.46
  4. Step 4: Simplify right side
    21,654.64x = 379,547,075.37
  5. Step 5: Solve for x
    x = 379,547,075.37/21,654.64
  6. Step 6: Final answer
    x = 17,527.29

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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.