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Finding the Fourth Proportional to 16,007.40, 23,994.90 and 9,430.20

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Solution

The fourth proportional to 16,007.40, 23,994.90 and 9,430.20 is: 14,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.40 : 23,994.90 = 9,430.20 : x
  2. Step 2: Convert to fraction form
    16,007.40/23,994.90 = 9,430.20/x
  3. Step 3: Cross multiply
    16,007.40x = 23,994.90 × 9,430.20
  4. Step 4: Simplify right side
    16,007.40x = 226,276,705.98
  5. Step 5: Solve for x
    x = 226,276,705.98/16,007.40
  6. Step 6: Final answer
    x = 14,135.76

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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.