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Finding the Fourth Proportional to 17,952.24, 24,775.07 and 9,994.29

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Solution

The fourth proportional to 17,952.24, 24,775.07 and 9,994.29 is: 13,792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,952.24 : 24,775.07 = 9,994.29 : x
  2. Step 2: Convert to fraction form
    17,952.24/24,775.07 = 9,994.29/x
  3. Step 3: Cross multiply
    17,952.24x = 24,775.07 × 9,994.29
  4. Step 4: Simplify right side
    17,952.24x = 247,609,259.34
  5. Step 5: Solve for x
    x = 247,609,259.34/17,952.24
  6. Step 6: Final answer
    x = 13,792.67

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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.