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Finding the Fourth Proportional to 23,402.94, 32,312.97 and 14,462.70

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Solution

The fourth proportional to 23,402.94, 32,312.97 and 14,462.70 is: 19,968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,402.94 : 32,312.97 = 14,462.70 : x
  2. Step 2: Convert to fraction form
    23,402.94/32,312.97 = 14,462.70/x
  3. Step 3: Cross multiply
    23,402.94x = 32,312.97 × 14,462.70
  4. Step 4: Simplify right side
    23,402.94x = 467,332,791.22
  5. Step 5: Solve for x
    x = 467,332,791.22/23,402.94
  6. Step 6: Final answer
    x = 19,968.98

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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.