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Finding the Fourth Proportional to 23,671.44, 35,523 and 9,820.44

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Solution

The fourth proportional to 23,671.44, 35,523 and 9,820.44 is: 14,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,671.44 : 35,523 = 9,820.44 : x
  2. Step 2: Convert to fraction form
    23,671.44/35,523 = 9,820.44/x
  3. Step 3: Cross multiply
    23,671.44x = 35,523 × 9,820.44
  4. Step 4: Simplify right side
    23,671.44x = 348,851,490.12
  5. Step 5: Solve for x
    x = 348,851,490.12/23,671.44
  6. Step 6: Final answer
    x = 14,737.23

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1.5x scale

Why These Related Problems?

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