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Finding the Fourth Proportional to 23,414.32, 35,124.98 and 8,622.10

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Solution

The fourth proportional to 23,414.32, 35,124.98 and 8,622.10 is: 12,934.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.32 : 35,124.98 = 8,622.10 : x
  2. Step 2: Convert to fraction form
    23,414.32/35,124.98 = 8,622.10/x
  3. Step 3: Cross multiply
    23,414.32x = 35,124.98 × 8,622.10
  4. Step 4: Simplify right side
    23,414.32x = 302,851,090.06
  5. Step 5: Solve for x
    x = 302,851,090.06/23,414.32
  6. Step 6: Final answer
    x = 12,934.44

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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.