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Finding the Fourth Proportional to 23,901.30, 32,991.98 and 14,469.86

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Solution

The fourth proportional to 23,901.30, 32,991.98 and 14,469.86 is: 19,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901.30 : 32,991.98 = 14,469.86 : x
  2. Step 2: Convert to fraction form
    23,901.30/32,991.98 = 14,469.86/x
  3. Step 3: Cross multiply
    23,901.30x = 32,991.98 × 14,469.86
  4. Step 4: Simplify right side
    23,901.30x = 477,389,094.41
  5. Step 5: Solve for x
    x = 477,389,094.41/23,901.30
  6. Step 6: Final answer
    x = 19,973.35

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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.