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Finding the Fourth Proportional to 17,723.34, 24,457.11 and 9,765.12

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Solution

The fourth proportional to 17,723.34, 24,457.11 and 9,765.12 is: 13,475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.34 : 24,457.11 = 9,765.12 : x
  2. Step 2: Convert to fraction form
    17,723.34/24,457.11 = 9,765.12/x
  3. Step 3: Cross multiply
    17,723.34x = 24,457.11 × 9,765.12
  4. Step 4: Simplify right side
    17,723.34x = 238,826,614.00
  5. Step 5: Solve for x
    x = 238,826,614.00/17,723.34
  6. Step 6: Final answer
    x = 13,475.26

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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.