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Finding the Fourth Proportional to 23,561.14, 32,509.11 and 14,000.30

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Solution

The fourth proportional to 23,561.14, 32,509.11 and 14,000.30 is: 19,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,561.14 : 32,509.11 = 14,000.30 : x
  2. Step 2: Convert to fraction form
    23,561.14/32,509.11 = 14,000.30/x
  3. Step 3: Cross multiply
    23,561.14x = 32,509.11 × 14,000.30
  4. Step 4: Simplify right side
    23,561.14x = 455,137,292.73
  5. Step 5: Solve for x
    x = 455,137,292.73/23,561.14
  6. Step 6: Final answer
    x = 19,317.29

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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.