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Finding the Fourth Proportional to 12,274.10, 18,411.15 and 7,075.70

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Solution

The fourth proportional to 12,274.10, 18,411.15 and 7,075.70 is: 10,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.10 : 18,411.15 = 7,075.70 : x
  2. Step 2: Convert to fraction form
    12,274.10/18,411.15 = 7,075.70/x
  3. Step 3: Cross multiply
    12,274.10x = 18,411.15 × 7,075.70
  4. Step 4: Simplify right side
    12,274.10x = 130,271,774.06
  5. Step 5: Solve for x
    x = 130,271,774.06/12,274.10
  6. Step 6: Final answer
    x = 10,613.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.