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Finding the Fourth Proportional to 23,018.64, 31,755 and 14,951.74

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Solution

The fourth proportional to 23,018.64, 31,755 and 14,951.74 is: 20,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,018.64 : 31,755 = 14,951.74 : x
  2. Step 2: Convert to fraction form
    23,018.64/31,755 = 14,951.74/x
  3. Step 3: Cross multiply
    23,018.64x = 31,755 × 14,951.74
  4. Step 4: Simplify right side
    23,018.64x = 474,792,503.70
  5. Step 5: Solve for x
    x = 474,792,503.70/23,018.64
  6. Step 6: Final answer
    x = 20,626.44

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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.