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Finding the Fourth Proportional to 14,900.30, 22,324.17 and 7,864.81

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Solution

The fourth proportional to 14,900.30, 22,324.17 and 7,864.81 is: 11,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.30 : 22,324.17 = 7,864.81 : x
  2. Step 2: Convert to fraction form
    14,900.30/22,324.17 = 7,864.81/x
  3. Step 3: Cross multiply
    14,900.30x = 22,324.17 × 7,864.81
  4. Step 4: Simplify right side
    14,900.30x = 175,575,355.46
  5. Step 5: Solve for x
    x = 175,575,355.46/14,900.30
  6. Step 6: Final answer
    x = 11,783.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.