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Finding the Fourth Proportional to 21,780.84, 30,075.17 and 17,748.20

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Solution

The fourth proportional to 21,780.84, 30,075.17 and 17,748.20 is: 24,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.84 : 30,075.17 = 17,748.20 : x
  2. Step 2: Convert to fraction form
    21,780.84/30,075.17 = 17,748.20/x
  3. Step 3: Cross multiply
    21,780.84x = 30,075.17 × 17,748.20
  4. Step 4: Simplify right side
    21,780.84x = 533,780,251.75
  5. Step 5: Solve for x
    x = 533,780,251.75/21,780.84
  6. Step 6: Final answer
    x = 24,506.87

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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.