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Finding the Fourth Proportional to 14,555.40, 21,849.30 and 7,994.40

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Solution

The fourth proportional to 14,555.40, 21,849.30 and 7,994.40 is: 12,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,555.40 : 21,849.30 = 7,994.40 : x
  2. Step 2: Convert to fraction form
    14,555.40/21,849.30 = 7,994.40/x
  3. Step 3: Cross multiply
    14,555.40x = 21,849.30 × 7,994.40
  4. Step 4: Simplify right side
    14,555.40x = 174,672,043.92
  5. Step 5: Solve for x
    x = 174,672,043.92/14,555.40
  6. Step 6: Final answer
    x = 12,000.50

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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.