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Finding the Fourth Proportional to 23,006.40, 31,737.60 and 14,625.60

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Solution

The fourth proportional to 23,006.40, 31,737.60 and 14,625.60 is: 20,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.40 : 31,737.60 = 14,625.60 : x
  2. Step 2: Convert to fraction form
    23,006.40/31,737.60 = 14,625.60/x
  3. Step 3: Cross multiply
    23,006.40x = 31,737.60 × 14,625.60
  4. Step 4: Simplify right side
    23,006.40x = 464,181,442.56
  5. Step 5: Solve for x
    x = 464,181,442.56/23,006.40
  6. Step 6: Final answer
    x = 20,176.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.