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Finding the Fourth Proportional to 14,651.76, 21,994.04 and 9,731.01

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Solution

The fourth proportional to 14,651.76, 21,994.04 and 9,731.01 is: 14,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.76 : 21,994.04 = 9,731.01 : x
  2. Step 2: Convert to fraction form
    14,651.76/21,994.04 = 9,731.01/x
  3. Step 3: Cross multiply
    14,651.76x = 21,994.04 × 9,731.01
  4. Step 4: Simplify right side
    14,651.76x = 214,024,064.56
  5. Step 5: Solve for x
    x = 214,024,064.56/14,651.76
  6. Step 6: Final answer
    x = 14,607.40

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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.