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Finding the Fourth Proportional to 23,503.50, 32,433.75 and 14,077.26

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Solution

The fourth proportional to 23,503.50, 32,433.75 and 14,077.26 is: 19,425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,503.50 : 32,433.75 = 14,077.26 : x
  2. Step 2: Convert to fraction form
    23,503.50/32,433.75 = 14,077.26/x
  3. Step 3: Cross multiply
    23,503.50x = 32,433.75 × 14,077.26
  4. Step 4: Simplify right side
    23,503.50x = 456,578,331.53
  5. Step 5: Solve for x
    x = 456,578,331.53/23,503.50
  6. Step 6: Final answer
    x = 19,425.97

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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.