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Finding the Fourth Proportional to 16,470.34, 24,697.95 and 7,105.87

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Solution

The fourth proportional to 16,470.34, 24,697.95 and 7,105.87 is: 10,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.34 : 24,697.95 = 7,105.87 : x
  2. Step 2: Convert to fraction form
    16,470.34/24,697.95 = 7,105.87/x
  3. Step 3: Cross multiply
    16,470.34x = 24,697.95 × 7,105.87
  4. Step 4: Simplify right side
    16,470.34x = 175,500,421.97
  5. Step 5: Solve for x
    x = 175,500,421.97/16,470.34
  6. Step 6: Final answer
    x = 10,655.54

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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.