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Finding the Fourth Proportional to 17,709.49, 24,438.13 and 9,750.21

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Solution

The fourth proportional to 17,709.49, 24,438.13 and 9,750.21 is: 13,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.49 : 24,438.13 = 9,750.21 : x
  2. Step 2: Convert to fraction form
    17,709.49/24,438.13 = 9,750.21/x
  3. Step 3: Cross multiply
    17,709.49x = 24,438.13 × 9,750.21
  4. Step 4: Simplify right side
    17,709.49x = 238,276,899.51
  5. Step 5: Solve for x
    x = 238,276,899.51/17,709.49
  6. Step 6: Final answer
    x = 13,454.76

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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.