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Finding the Fourth Proportional to 23,109.88, 34,672.24 and 16,024

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Solution

The fourth proportional to 23,109.88, 34,672.24 and 16,024 is: 24,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.88 : 34,672.24 = 16,024 : x
  2. Step 2: Convert to fraction form
    23,109.88/34,672.24 = 16,024/x
  3. Step 3: Cross multiply
    23,109.88x = 34,672.24 × 16,024
  4. Step 4: Simplify right side
    23,109.88x = 555,587,973.76
  5. Step 5: Solve for x
    x = 555,587,973.76/23,109.88
  6. Step 6: Final answer
    x = 24,041.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.