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Finding the Fourth Proportional to 17,752.21, 24,497.20 and 10,193.21

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Solution

The fourth proportional to 17,752.21, 24,497.20 and 10,193.21 is: 14,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.21 : 24,497.20 = 10,193.21 : x
  2. Step 2: Convert to fraction form
    17,752.21/24,497.20 = 10,193.21/x
  3. Step 3: Cross multiply
    17,752.21x = 24,497.20 × 10,193.21
  4. Step 4: Simplify right side
    17,752.21x = 249,705,104.01
  5. Step 5: Solve for x
    x = 249,705,104.01/17,752.21
  6. Step 6: Final answer
    x = 14,066.14

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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.