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Finding the Fourth Proportional to 16,574.40, 24,788.16 and 14,738.40

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Solution

The fourth proportional to 16,574.40, 24,788.16 and 14,738.40 is: 22,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.40 : 24,788.16 = 14,738.40 : x
  2. Step 2: Convert to fraction form
    16,574.40/24,788.16 = 14,738.40/x
  3. Step 3: Cross multiply
    16,574.40x = 24,788.16 × 14,738.40
  4. Step 4: Simplify right side
    16,574.40x = 365,337,817.34
  5. Step 5: Solve for x
    x = 365,337,817.34/16,574.40
  6. Step 6: Final answer
    x = 22,042.30

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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.