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Finding the Fourth Proportional to 23,454, 32,366.64 and 17,490.96

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Solution

The fourth proportional to 23,454, 32,366.64 and 17,490.96 is: 24,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454 : 32,366.64 = 17,490.96 : x
  2. Step 2: Convert to fraction form
    23,454/32,366.64 = 17,490.96/x
  3. Step 3: Cross multiply
    23,454x = 32,366.64 × 17,490.96
  4. Step 4: Simplify right side
    23,454x = 566,123,605.57
  5. Step 5: Solve for x
    x = 566,123,605.57/23,454
  6. Step 6: Final answer
    x = 24,137.61

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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.