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Finding the Fourth Proportional to 16,105.34, 24,159.09 and 4,417.58

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Solution

The fourth proportional to 16,105.34, 24,159.09 and 4,417.58 is: 6,626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.34 : 24,159.09 = 4,417.58 : x
  2. Step 2: Convert to fraction form
    16,105.34/24,159.09 = 4,417.58/x
  3. Step 3: Cross multiply
    16,105.34x = 24,159.09 × 4,417.58
  4. Step 4: Simplify right side
    16,105.34x = 106,724,712.80
  5. Step 5: Solve for x
    x = 106,724,712.80/16,105.34
  6. Step 6: Final answer
    x = 6,626.67

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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.