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Finding the Fourth Proportional to 14,431, 19,923.05 and 11,001.07

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Solution

The fourth proportional to 14,431, 19,923.05 and 11,001.07 is: 15,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431 : 19,923.05 = 11,001.07 : x
  2. Step 2: Convert to fraction form
    14,431/19,923.05 = 11,001.07/x
  3. Step 3: Cross multiply
    14,431x = 19,923.05 × 11,001.07
  4. Step 4: Simplify right side
    14,431x = 219,174,867.66
  5. Step 5: Solve for x
    x = 219,174,867.66/14,431
  6. Step 6: Final answer
    x = 15,187.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.