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Finding the Fourth Proportional to 23,155, 31,961.73 and 14,430.49

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Solution

The fourth proportional to 23,155, 31,961.73 and 14,430.49 is: 19,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,155 : 31,961.73 = 14,430.49 : x
  2. Step 2: Convert to fraction form
    23,155/31,961.73 = 14,430.49/x
  3. Step 3: Cross multiply
    23,155x = 31,961.73 × 14,430.49
  4. Step 4: Simplify right side
    23,155x = 461,223,425.15
  5. Step 5: Solve for x
    x = 461,223,425.15/23,155
  6. Step 6: Final answer
    x = 19,918.96

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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.