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Finding the Fourth Proportional to 17,623.17, 24,319.44 and 9,665.19

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Solution

The fourth proportional to 17,623.17, 24,319.44 and 9,665.19 is: 13,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,623.17 : 24,319.44 = 9,665.19 : x
  2. Step 2: Convert to fraction form
    17,623.17/24,319.44 = 9,665.19/x
  3. Step 3: Cross multiply
    17,623.17x = 24,319.44 × 9,665.19
  4. Step 4: Simplify right side
    17,623.17x = 235,052,008.29
  5. Step 5: Solve for x
    x = 235,052,008.29/17,623.17
  6. Step 6: Final answer
    x = 13,337.67

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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.