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Finding the Fourth Proportional to 17,464.29, 24,099.96 and 9,506.58

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Solution

The fourth proportional to 17,464.29, 24,099.96 and 9,506.58 is: 13,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.29 : 24,099.96 = 9,506.58 : x
  2. Step 2: Convert to fraction form
    17,464.29/24,099.96 = 9,506.58/x
  3. Step 3: Cross multiply
    17,464.29x = 24,099.96 × 9,506.58
  4. Step 4: Simplify right side
    17,464.29x = 229,108,197.74
  5. Step 5: Solve for x
    x = 229,108,197.74/17,464.29
  6. Step 6: Final answer
    x = 13,118.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.