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Finding the Fourth Proportional to 23,114, 31,876.80 and 14,605.76

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Solution

The fourth proportional to 23,114, 31,876.80 and 14,605.76 is: 20,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114 : 31,876.80 = 14,605.76 : x
  2. Step 2: Convert to fraction form
    23,114/31,876.80 = 14,605.76/x
  3. Step 3: Cross multiply
    23,114x = 31,876.80 × 14,605.76
  4. Step 4: Simplify right side
    23,114x = 465,584,890.37
  5. Step 5: Solve for x
    x = 465,584,890.37/23,114
  6. Step 6: Final answer
    x = 20,142.98

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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.