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Finding the Fourth Proportional to 23,820.40, 35,732.28 and 6,290

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Solution

The fourth proportional to 23,820.40, 35,732.28 and 6,290 is: 9,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.40 : 35,732.28 = 6,290 : x
  2. Step 2: Convert to fraction form
    23,820.40/35,732.28 = 6,290/x
  3. Step 3: Cross multiply
    23,820.40x = 35,732.28 × 6,290
  4. Step 4: Simplify right side
    23,820.40x = 224,756,041.20
  5. Step 5: Solve for x
    x = 224,756,041.20/23,820.40
  6. Step 6: Final answer
    x = 9,435.44

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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.