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Finding the Fourth Proportional to 23,202.70, 32,014.18 and 14,127.95

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Solution

The fourth proportional to 23,202.70, 32,014.18 and 14,127.95 is: 19,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.70 : 32,014.18 = 14,127.95 : x
  2. Step 2: Convert to fraction form
    23,202.70/32,014.18 = 14,127.95/x
  3. Step 3: Cross multiply
    23,202.70x = 32,014.18 × 14,127.95
  4. Step 4: Simplify right side
    23,202.70x = 452,294,779.05
  5. Step 5: Solve for x
    x = 452,294,779.05/23,202.70
  6. Step 6: Final answer
    x = 19,493.20

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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.