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Finding the Fourth Proportional to 16,023.69, 24,020.89 and 7,134.35

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Solution

The fourth proportional to 16,023.69, 24,020.89 and 7,134.35 is: 10,695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.69 : 24,020.89 = 7,134.35 : x
  2. Step 2: Convert to fraction form
    16,023.69/24,020.89 = 7,134.35/x
  3. Step 3: Cross multiply
    16,023.69x = 24,020.89 × 7,134.35
  4. Step 4: Simplify right side
    16,023.69x = 171,373,298.63
  5. Step 5: Solve for x
    x = 171,373,298.63/16,023.69
  6. Step 6: Final answer
    x = 10,695.00

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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.